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Finding the Fourth Proportional to 275,060.40, 412,599.24 and 97,564.56

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Solution

The fourth proportional to 275,060.40, 412,599.24 and 97,564.56 is: 146,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,060.40 : 412,599.24 = 97,564.56 : x
  2. Step 2: Convert to fraction form
    275,060.40/412,599.24 = 97,564.56/x
  3. Step 3: Cross multiply
    275,060.40x = 412,599.24 × 97,564.56
  4. Step 4: Simplify right side
    275,060.40x = 40,255,063,306.93
  5. Step 5: Solve for x
    x = 40,255,063,306.93/275,060.40
  6. Step 6: Final answer
    x = 146,349.90

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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.