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Finding the Fourth Proportional to 502,565.63, 693,228.17 and 298,469.31

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Solution

The fourth proportional to 502,565.63, 693,228.17 and 298,469.31 is: 411,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,565.63 : 693,228.17 = 298,469.31 : x
  2. Step 2: Convert to fraction form
    502,565.63/693,228.17 = 298,469.31/x
  3. Step 3: Cross multiply
    502,565.63x = 693,228.17 × 298,469.31
  4. Step 4: Simplify right side
    502,565.63x = 206,907,332,080.12
  5. Step 5: Solve for x
    x = 206,907,332,080.12/502,565.63
  6. Step 6: Final answer
    x = 411,702.12

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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.