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Finding the Fourth Proportional to 288,562.80, 432,844.20 and 155,702.55

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Solution

The fourth proportional to 288,562.80, 432,844.20 and 155,702.55 is: 233,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,562.80 : 432,844.20 = 155,702.55 : x
  2. Step 2: Convert to fraction form
    288,562.80/432,844.20 = 155,702.55/x
  3. Step 3: Cross multiply
    288,562.80x = 432,844.20 × 155,702.55
  4. Step 4: Simplify right side
    288,562.80x = 67,394,945,692.71
  5. Step 5: Solve for x
    x = 67,394,945,692.71/288,562.80
  6. Step 6: Final answer
    x = 233,553.83

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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.