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Finding the Fourth Proportional to 484,463.60, 726,954.60 and 204,009.20

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Solution

The fourth proportional to 484,463.60, 726,954.60 and 204,009.20 is: 306,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,463.60 : 726,954.60 = 204,009.20 : x
  2. Step 2: Convert to fraction form
    484,463.60/726,954.60 = 204,009.20/x
  3. Step 3: Cross multiply
    484,463.60x = 726,954.60 × 204,009.20
  4. Step 4: Simplify right side
    484,463.60x = 148,305,426,382.32
  5. Step 5: Solve for x
    x = 148,305,426,382.32/484,463.60
  6. Step 6: Final answer
    x = 306,122.95

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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.