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Finding the Fourth Proportional to 484,065.60, 726,098.40 and 306,772.80

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Solution

The fourth proportional to 484,065.60, 726,098.40 and 306,772.80 is: 460,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,065.60 : 726,098.40 = 306,772.80 : x
  2. Step 2: Convert to fraction form
    484,065.60/726,098.40 = 306,772.80/x
  3. Step 3: Cross multiply
    484,065.60x = 726,098.40 × 306,772.80
  4. Step 4: Simplify right side
    484,065.60x = 222,747,239,243.52
  5. Step 5: Solve for x
    x = 222,747,239,243.52/484,065.60
  6. Step 6: Final answer
    x = 460,159.20

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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.