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Finding the Fourth Proportional to 502,714.62, 693,741.24 and 374,227.68

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Solution

The fourth proportional to 502,714.62, 693,741.24 and 374,227.68 is: 516,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,714.62 : 693,741.24 = 374,227.68 : x
  2. Step 2: Convert to fraction form
    502,714.62/693,741.24 = 374,227.68/x
  3. Step 3: Cross multiply
    502,714.62x = 693,741.24 × 374,227.68
  4. Step 4: Simplify right side
    502,714.62x = 259,617,174,765.52
  5. Step 5: Solve for x
    x = 259,617,174,765.52/502,714.62
  6. Step 6: Final answer
    x = 516,430.52

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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.