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Finding the Fourth Proportional to 484,782.40, 726,930.24 and 282,443.92

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Solution

The fourth proportional to 484,782.40, 726,930.24 and 282,443.92 is: 423,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,782.40 : 726,930.24 = 282,443.92 : x
  2. Step 2: Convert to fraction form
    484,782.40/726,930.24 = 282,443.92/x
  3. Step 3: Cross multiply
    484,782.40x = 726,930.24 × 282,443.92
  4. Step 4: Simplify right side
    484,782.40x = 205,317,026,552.14
  5. Step 5: Solve for x
    x = 205,317,026,552.14/484,782.40
  6. Step 6: Final answer
    x = 423,524.09

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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.