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Finding the Fourth Proportional to 498,739.38, 688,264.76 and 283,893.28

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Solution

The fourth proportional to 498,739.38, 688,264.76 and 283,893.28 is: 391,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,739.38 : 688,264.76 = 283,893.28 : x
  2. Step 2: Convert to fraction form
    498,739.38/688,264.76 = 283,893.28/x
  3. Step 3: Cross multiply
    498,739.38x = 688,264.76 × 283,893.28
  4. Step 4: Simplify right side
    498,739.38x = 195,393,740,224.81
  5. Step 5: Solve for x
    x = 195,393,740,224.81/498,739.38
  6. Step 6: Final answer
    x = 391,775.24

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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.