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Finding the Fourth Proportional to 502,207.20, 753,310.80 and 460,216.80

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Solution

The fourth proportional to 502,207.20, 753,310.80 and 460,216.80 is: 690,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,207.20 : 753,310.80 = 460,216.80 : x
  2. Step 2: Convert to fraction form
    502,207.20/753,310.80 = 460,216.80/x
  3. Step 3: Cross multiply
    502,207.20x = 753,310.80 × 460,216.80
  4. Step 4: Simplify right side
    502,207.20x = 346,686,285,781.44
  5. Step 5: Solve for x
    x = 346,686,285,781.44/502,207.20
  6. Step 6: Final answer
    x = 690,325.20

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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.