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Finding the Fourth Proportional to 531,781.68, 734,129.56 and 410,651.04

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Solution

The fourth proportional to 531,781.68, 734,129.56 and 410,651.04 is: 566,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,781.68 : 734,129.56 = 410,651.04 : x
  2. Step 2: Convert to fraction form
    531,781.68/734,129.56 = 410,651.04/x
  3. Step 3: Cross multiply
    531,781.68x = 734,129.56 × 410,651.04
  4. Step 4: Simplify right side
    531,781.68x = 301,471,067,308.74
  5. Step 5: Solve for x
    x = 301,471,067,308.74/531,781.68
  6. Step 6: Final answer
    x = 566,907.58

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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.