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Finding the Fourth Proportional to 488,269.20, 732,403.80 and 409,537.20

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Solution

The fourth proportional to 488,269.20, 732,403.80 and 409,537.20 is: 614,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,269.20 : 732,403.80 = 409,537.20 : x
  2. Step 2: Convert to fraction form
    488,269.20/732,403.80 = 409,537.20/x
  3. Step 3: Cross multiply
    488,269.20x = 732,403.80 × 409,537.20
  4. Step 4: Simplify right side
    488,269.20x = 299,946,601,521.36
  5. Step 5: Solve for x
    x = 299,946,601,521.36/488,269.20
  6. Step 6: Final answer
    x = 614,305.80

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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.