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Finding the Fourth Proportional to 499,233.84, 688,862.25 and 284,378.10

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Solution

The fourth proportional to 499,233.84, 688,862.25 and 284,378.10 is: 392,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,233.84 : 688,862.25 = 284,378.10 : x
  2. Step 2: Convert to fraction form
    499,233.84/688,862.25 = 284,378.10/x
  3. Step 3: Cross multiply
    499,233.84x = 688,862.25 × 284,378.10
  4. Step 4: Simplify right side
    499,233.84x = 195,897,337,816.73
  5. Step 5: Solve for x
    x = 195,897,337,816.73/499,233.84
  6. Step 6: Final answer
    x = 392,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.