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Finding the Fourth Proportional to 460,892.97, 691,339.46 and 145,374.48

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Solution

The fourth proportional to 460,892.97, 691,339.46 and 145,374.48 is: 218,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,892.97 : 691,339.46 = 145,374.48 : x
  2. Step 2: Convert to fraction form
    460,892.97/691,339.46 = 145,374.48/x
  3. Step 3: Cross multiply
    460,892.97x = 691,339.46 × 145,374.48
  4. Step 4: Simplify right side
    460,892.97x = 100,503,114,500.98
  5. Step 5: Solve for x
    x = 100,503,114,500.98/460,892.97
  6. Step 6: Final answer
    x = 218,061.72

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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.