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Finding the Fourth Proportional to 315,842.32, 435,863.54 and 172,602.38

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Solution

The fourth proportional to 315,842.32, 435,863.54 and 172,602.38 is: 238,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,842.32 : 435,863.54 = 172,602.38 : x
  2. Step 2: Convert to fraction form
    315,842.32/435,863.54 = 172,602.38/x
  3. Step 3: Cross multiply
    315,842.32x = 435,863.54 × 172,602.38
  4. Step 4: Simplify right side
    315,842.32x = 75,231,084,359.23
  5. Step 5: Solve for x
    x = 75,231,084,359.23/315,842.32
  6. Step 6: Final answer
    x = 238,191.91

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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.