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Finding the Fourth Proportional to 315,754.38, 435,725.19 and 172,488.06

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Solution

The fourth proportional to 315,754.38, 435,725.19 and 172,488.06 is: 238,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,754.38 : 435,725.19 = 172,488.06 : x
  2. Step 2: Convert to fraction form
    315,754.38/435,725.19 = 172,488.06/x
  3. Step 3: Cross multiply
    315,754.38x = 435,725.19 × 172,488.06
  4. Step 4: Simplify right side
    315,754.38x = 75,157,392,716.23
  5. Step 5: Solve for x
    x = 75,157,392,716.23/315,754.38
  6. Step 6: Final answer
    x = 238,024.86

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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.