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Finding the Fourth Proportional to 499,876.80, 749,912.40 and 144,902.40

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Solution

The fourth proportional to 499,876.80, 749,912.40 and 144,902.40 is: 217,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,876.80 : 749,912.40 = 144,902.40 : x
  2. Step 2: Convert to fraction form
    499,876.80/749,912.40 = 144,902.40/x
  3. Step 3: Cross multiply
    499,876.80x = 749,912.40 × 144,902.40
  4. Step 4: Simplify right side
    499,876.80x = 108,664,106,549.76
  5. Step 5: Solve for x
    x = 108,664,106,549.76/499,876.80
  6. Step 6: Final answer
    x = 217,381.78

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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.