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Finding the Fourth Proportional to 497,407.56, 746,199.99 and 231,468.36

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Solution

The fourth proportional to 497,407.56, 746,199.99 and 231,468.36 is: 347,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,407.56 : 746,199.99 = 231,468.36 : x
  2. Step 2: Convert to fraction form
    497,407.56/746,199.99 = 231,468.36/x
  3. Step 3: Cross multiply
    497,407.56x = 746,199.99 × 231,468.36
  4. Step 4: Simplify right side
    497,407.56x = 172,721,687,917.32
  5. Step 5: Solve for x
    x = 172,721,687,917.32/497,407.56
  6. Step 6: Final answer
    x = 347,243.79

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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.