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Finding the Fourth Proportional to 499,091.74, 748,318.43 and 296,633.84

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Solution

The fourth proportional to 499,091.74, 748,318.43 and 296,633.84 is: 444,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,091.74 : 748,318.43 = 296,633.84 : x
  2. Step 2: Convert to fraction form
    499,091.74/748,318.43 = 296,633.84/x
  3. Step 3: Cross multiply
    499,091.74x = 748,318.43 × 296,633.84
  4. Step 4: Simplify right side
    499,091.74x = 221,976,569,433.67
  5. Step 5: Solve for x
    x = 221,976,569,433.67/499,091.74
  6. Step 6: Final answer
    x = 444,761.06

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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.