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Finding the Fourth Proportional to 484,475.58, 726,469.00 and 282,137.07

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Solution

The fourth proportional to 484,475.58, 726,469.00 and 282,137.07 is: 423,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,475.58 : 726,469.00 = 282,137.07 : x
  2. Step 2: Convert to fraction form
    484,475.58/726,469.00 = 282,137.07/x
  3. Step 3: Cross multiply
    484,475.58x = 726,469.00 × 282,137.07
  4. Step 4: Simplify right side
    484,475.58x = 204,963,838,711.77
  5. Step 5: Solve for x
    x = 204,963,838,711.77/484,475.58
  6. Step 6: Final answer
    x = 423,063.30

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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.