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Finding the Fourth Proportional to 432,881.95, 649,262.09 and 148,567.85

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Solution

The fourth proportional to 432,881.95, 649,262.09 and 148,567.85 is: 222,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,881.95 : 649,262.09 = 148,567.85 : x
  2. Step 2: Convert to fraction form
    432,881.95/649,262.09 = 148,567.85/x
  3. Step 3: Cross multiply
    432,881.95x = 649,262.09 × 148,567.85
  4. Step 4: Simplify right side
    432,881.95x = 96,459,469,737.21
  5. Step 5: Solve for x
    x = 96,459,469,737.21/432,881.95
  6. Step 6: Final answer
    x = 222,830.89

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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.