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Finding the Fourth Proportional to 531,771.40, 734,115.18 and 410,640.76

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Solution

The fourth proportional to 531,771.40, 734,115.18 and 410,640.76 is: 566,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,771.40 : 734,115.18 = 410,640.76 : x
  2. Step 2: Convert to fraction form
    531,771.40/734,115.18 = 410,640.76/x
  3. Step 3: Cross multiply
    531,771.40x = 734,115.18 × 410,640.76
  4. Step 4: Simplify right side
    531,771.40x = 301,457,615,442.74
  5. Step 5: Solve for x
    x = 301,457,615,442.74/531,771.40
  6. Step 6: Final answer
    x = 566,893.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.