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Finding the Fourth Proportional to 272,404.60, 408,606.90 and 154,306.60

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Solution

The fourth proportional to 272,404.60, 408,606.90 and 154,306.60 is: 231,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,404.60 : 408,606.90 = 154,306.60 : x
  2. Step 2: Convert to fraction form
    272,404.60/408,606.90 = 154,306.60/x
  3. Step 3: Cross multiply
    272,404.60x = 408,606.90 × 154,306.60
  4. Step 4: Simplify right side
    272,404.60x = 63,050,741,475.54
  5. Step 5: Solve for x
    x = 63,050,741,475.54/272,404.60
  6. Step 6: Final answer
    x = 231,459.90

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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.