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Finding the Fourth Proportional to 457,809.60, 686,714.40 and 298,377.30

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Solution

The fourth proportional to 457,809.60, 686,714.40 and 298,377.30 is: 447,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,809.60 : 686,714.40 = 298,377.30 : x
  2. Step 2: Convert to fraction form
    457,809.60/686,714.40 = 298,377.30/x
  3. Step 3: Cross multiply
    457,809.60x = 686,714.40 × 298,377.30
  4. Step 4: Simplify right side
    457,809.60x = 204,899,988,543.12
  5. Step 5: Solve for x
    x = 204,899,988,543.12/457,809.60
  6. Step 6: Final answer
    x = 447,565.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.