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Finding the Fourth Proportional to 498,144.84, 747,161.89 and 178,283.79

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Solution

The fourth proportional to 498,144.84, 747,161.89 and 178,283.79 is: 267,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,144.84 : 747,161.89 = 178,283.79 : x
  2. Step 2: Convert to fraction form
    498,144.84/747,161.89 = 178,283.79/x
  3. Step 3: Cross multiply
    498,144.84x = 747,161.89 × 178,283.79
  4. Step 4: Simplify right side
    498,144.84x = 133,206,853,492.76
  5. Step 5: Solve for x
    x = 133,206,853,492.76/498,144.84
  6. Step 6: Final answer
    x = 267,405.87

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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.