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Finding the Fourth Proportional to 413,006.92, 570,149.76 and 276,991.18

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Solution

The fourth proportional to 413,006.92, 570,149.76 and 276,991.18 is: 382,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,006.92 : 570,149.76 = 276,991.18 : x
  2. Step 2: Convert to fraction form
    413,006.92/570,149.76 = 276,991.18/x
  3. Step 3: Cross multiply
    413,006.92x = 570,149.76 × 276,991.18
  4. Step 4: Simplify right side
    413,006.92x = 157,926,454,799.12
  5. Step 5: Solve for x
    x = 157,926,454,799.12/413,006.92
  6. Step 6: Final answer
    x = 382,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.