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Finding the Fourth Proportional to 296,338.87, 444,463.05 and 96,658.90

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Solution

The fourth proportional to 296,338.87, 444,463.05 and 96,658.90 is: 144,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,338.87 : 444,463.05 = 96,658.90 : x
  2. Step 2: Convert to fraction form
    296,338.87/444,463.05 = 96,658.90/x
  3. Step 3: Cross multiply
    296,338.87x = 444,463.05 × 96,658.90
  4. Step 4: Simplify right side
    296,338.87x = 42,961,309,503.65
  5. Step 5: Solve for x
    x = 42,961,309,503.65/296,338.87
  6. Step 6: Final answer
    x = 144,973.59

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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.