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Finding the Fourth Proportional to 412,963.92, 569,287.04 and 291,891.60

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Solution

The fourth proportional to 412,963.92, 569,287.04 and 291,891.60 is: 402,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,963.92 : 569,287.04 = 291,891.60 : x
  2. Step 2: Convert to fraction form
    412,963.92/569,287.04 = 291,891.60/x
  3. Step 3: Cross multiply
    412,963.92x = 569,287.04 × 291,891.60
  4. Step 4: Simplify right side
    412,963.92x = 166,170,103,505.41
  5. Step 5: Solve for x
    x = 166,170,103,505.41/412,963.92
  6. Step 6: Final answer
    x = 402,384.07

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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.