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Finding the Fourth Proportional to 519,116.40, 778,674.60 and 414,140.40

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Solution

The fourth proportional to 519,116.40, 778,674.60 and 414,140.40 is: 621,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,116.40 : 778,674.60 = 414,140.40 : x
  2. Step 2: Convert to fraction form
    519,116.40/778,674.60 = 414,140.40/x
  3. Step 3: Cross multiply
    519,116.40x = 778,674.60 × 414,140.40
  4. Step 4: Simplify right side
    519,116.40x = 322,480,610,313.84
  5. Step 5: Solve for x
    x = 322,480,610,313.84/519,116.40
  6. Step 6: Final answer
    x = 621,210.60

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.