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Finding the Fourth Proportional to 531,767.13, 734,109.54 and 410,636.49

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Solution

The fourth proportional to 531,767.13, 734,109.54 and 410,636.49 is: 566,887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,767.13 : 734,109.54 = 410,636.49 : x
  2. Step 2: Convert to fraction form
    531,767.13/734,109.54 = 410,636.49/x
  3. Step 3: Cross multiply
    531,767.13x = 734,109.54 × 410,636.49
  4. Step 4: Simplify right side
    531,767.13x = 301,452,160,488.32
  5. Step 5: Solve for x
    x = 301,452,160,488.32/531,767.13
  6. Step 6: Final answer
    x = 566,887.54

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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.