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Finding the Fourth Proportional to 301,451.92, 416,036.70 and 172,402.36

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Solution

The fourth proportional to 301,451.92, 416,036.70 and 172,402.36 is: 237,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,451.92 : 416,036.70 = 172,402.36 : x
  2. Step 2: Convert to fraction form
    301,451.92/416,036.70 = 172,402.36/x
  3. Step 3: Cross multiply
    301,451.92x = 416,036.70 × 172,402.36
  4. Step 4: Simplify right side
    301,451.92x = 71,725,708,926.61
  5. Step 5: Solve for x
    x = 71,725,708,926.61/301,451.92
  6. Step 6: Final answer
    x = 237,934.16

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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.