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Finding the Fourth Proportional to 499,229.28, 688,884.48 and 284,324.40

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Solution

The fourth proportional to 499,229.28, 688,884.48 and 284,324.40 is: 392,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,229.28 : 688,884.48 = 284,324.40 : x
  2. Step 2: Convert to fraction form
    499,229.28/688,884.48 = 284,324.40/x
  3. Step 3: Cross multiply
    499,229.28x = 688,884.48 × 284,324.40
  4. Step 4: Simplify right side
    499,229.28x = 195,866,666,445.31
  5. Step 5: Solve for x
    x = 195,866,666,445.31/499,229.28
  6. Step 6: Final answer
    x = 392,338.10

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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.