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Finding the Fourth Proportional to 315,686.96, 435,642.52 and 172,443.32

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Solution

The fourth proportional to 315,686.96, 435,642.52 and 172,443.32 is: 237,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,686.96 : 435,642.52 = 172,443.32 : x
  2. Step 2: Convert to fraction form
    315,686.96/435,642.52 = 172,443.32/x
  3. Step 3: Cross multiply
    315,686.96x = 435,642.52 × 172,443.32
  4. Step 4: Simplify right side
    315,686.96x = 75,123,642,481.97
  5. Step 5: Solve for x
    x = 75,123,642,481.97/315,686.96
  6. Step 6: Final answer
    x = 237,968.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.