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Finding the Fourth Proportional to 288,458.46, 432,675.14 and 88,799.13

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Solution

The fourth proportional to 288,458.46, 432,675.14 and 88,799.13 is: 133,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,458.46 : 432,675.14 = 88,799.13 : x
  2. Step 2: Convert to fraction form
    288,458.46/432,675.14 = 88,799.13/x
  3. Step 3: Cross multiply
    288,458.46x = 432,675.14 × 88,799.13
  4. Step 4: Simplify right side
    288,458.46x = 38,421,175,560.63
  5. Step 5: Solve for x
    x = 38,421,175,560.63/288,458.46
  6. Step 6: Final answer
    x = 133,194.83

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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.