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Finding the Fourth Proportional to 359,342.32, 538,127.70 and 225,891.58

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Solution

The fourth proportional to 359,342.32, 538,127.70 and 225,891.58 is: 338,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,342.32 : 538,127.70 = 225,891.58 : x
  2. Step 2: Convert to fraction form
    359,342.32/538,127.70 = 225,891.58/x
  3. Step 3: Cross multiply
    359,342.32x = 538,127.70 × 225,891.58
  4. Step 4: Simplify right side
    359,342.32x = 121,558,516,394.77
  5. Step 5: Solve for x
    x = 121,558,516,394.77/359,342.32
  6. Step 6: Final answer
    x = 338,280.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.