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Finding the Fourth Proportional to 497,584.64, 686,640.87 and 282,694.88

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Solution

The fourth proportional to 497,584.64, 686,640.87 and 282,694.88 is: 390,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,584.64 : 686,640.87 = 282,694.88 : x
  2. Step 2: Convert to fraction form
    497,584.64/686,640.87 = 282,694.88/x
  3. Step 3: Cross multiply
    497,584.64x = 686,640.87 × 282,694.88
  4. Step 4: Simplify right side
    497,584.64x = 194,109,854,914.54
  5. Step 5: Solve for x
    x = 194,109,854,914.54/497,584.64
  6. Step 6: Final answer
    x = 390,104.20

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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.