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Finding the Fourth Proportional to 484,651.60, 727,092.60 and 204,024.40

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Solution

The fourth proportional to 484,651.60, 727,092.60 and 204,024.40 is: 306,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,651.60 : 727,092.60 = 204,024.40 : x
  2. Step 2: Convert to fraction form
    484,651.60/727,092.60 = 204,024.40/x
  3. Step 3: Cross multiply
    484,651.60x = 727,092.60 × 204,024.40
  4. Step 4: Simplify right side
    484,651.60x = 148,344,631,459.44
  5. Step 5: Solve for x
    x = 148,344,631,459.44/484,651.60
  6. Step 6: Final answer
    x = 306,085.10

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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.