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Finding the Fourth Proportional to 315,714.68, 435,716.28 and 172,496.24

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Solution

The fourth proportional to 315,714.68, 435,716.28 and 172,496.24 is: 238,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714.68 : 435,716.28 = 172,496.24 : x
  2. Step 2: Convert to fraction form
    315,714.68/435,716.28 = 172,496.24/x
  3. Step 3: Cross multiply
    315,714.68x = 435,716.28 × 172,496.24
  4. Step 4: Simplify right side
    315,714.68x = 75,159,420,006.79
  5. Step 5: Solve for x
    x = 75,159,420,006.79/315,714.68
  6. Step 6: Final answer
    x = 238,061.21

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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.