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Finding the Fourth Proportional to 488,309.20, 732,463.80 and 409,577.20

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Solution

The fourth proportional to 488,309.20, 732,463.80 and 409,577.20 is: 614,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,309.20 : 732,463.80 = 409,577.20 : x
  2. Step 2: Convert to fraction form
    488,309.20/732,463.80 = 409,577.20/x
  3. Step 3: Cross multiply
    488,309.20x = 732,463.80 × 409,577.20
  4. Step 4: Simplify right side
    488,309.20x = 300,000,472,305.36
  5. Step 5: Solve for x
    x = 300,000,472,305.36/488,309.20
  6. Step 6: Final answer
    x = 614,365.80

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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.