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Finding the Fourth Proportional to 296,553.40, 444,830.10 and 282,775.30

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Solution

The fourth proportional to 296,553.40, 444,830.10 and 282,775.30 is: 424,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,553.40 : 444,830.10 = 282,775.30 : x
  2. Step 2: Convert to fraction form
    296,553.40/444,830.10 = 282,775.30/x
  3. Step 3: Cross multiply
    296,553.40x = 444,830.10 × 282,775.30
  4. Step 4: Simplify right side
    296,553.40x = 125,786,964,976.53
  5. Step 5: Solve for x
    x = 125,786,964,976.53/296,553.40
  6. Step 6: Final answer
    x = 424,162.95

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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.