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Finding the Fourth Proportional to 288,592.38, 432,848.00 and 99,049.66

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Solution

The fourth proportional to 288,592.38, 432,848.00 and 99,049.66 is: 148,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,592.38 : 432,848.00 = 99,049.66 : x
  2. Step 2: Convert to fraction form
    288,592.38/432,848.00 = 99,049.66/x
  3. Step 3: Cross multiply
    288,592.38x = 432,848.00 × 99,049.66
  4. Step 4: Simplify right side
    288,592.38x = 42,873,446,397.18
  5. Step 5: Solve for x
    x = 42,873,446,397.18/288,592.38
  6. Step 6: Final answer
    x = 148,560.56

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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.