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Finding the Fourth Proportional to 486,232.40, 729,348.60 and 307,773.20

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Solution

The fourth proportional to 486,232.40, 729,348.60 and 307,773.20 is: 461,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,232.40 : 729,348.60 = 307,773.20 : x
  2. Step 2: Convert to fraction form
    486,232.40/729,348.60 = 307,773.20/x
  3. Step 3: Cross multiply
    486,232.40x = 729,348.60 × 307,773.20
  4. Step 4: Simplify right side
    486,232.40x = 224,473,952,537.52
  5. Step 5: Solve for x
    x = 224,473,952,537.52/486,232.40
  6. Step 6: Final answer
    x = 461,659.80

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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.