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Finding the Fourth Proportional to 484,461.60, 726,951.60 and 204,007.20

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Solution

The fourth proportional to 484,461.60, 726,951.60 and 204,007.20 is: 306,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,461.60 : 726,951.60 = 204,007.20 : x
  2. Step 2: Convert to fraction form
    484,461.60/726,951.60 = 204,007.20/x
  3. Step 3: Cross multiply
    484,461.60x = 726,951.60 × 204,007.20
  4. Step 4: Simplify right side
    484,461.60x = 148,303,360,451.52
  5. Step 5: Solve for x
    x = 148,303,360,451.52/484,461.60
  6. Step 6: Final answer
    x = 306,119.95

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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.