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Finding the Fourth Proportional to 422,337.65, 582,358.93 and 269,133.17

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Solution

The fourth proportional to 422,337.65, 582,358.93 and 269,133.17 is: 371,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,337.65 : 582,358.93 = 269,133.17 : x
  2. Step 2: Convert to fraction form
    422,337.65/582,358.93 = 269,133.17/x
  3. Step 3: Cross multiply
    422,337.65x = 582,358.93 × 269,133.17
  4. Step 4: Simplify right side
    422,337.65x = 156,732,104,908.71
  5. Step 5: Solve for x
    x = 156,732,104,908.71/422,337.65
  6. Step 6: Final answer
    x = 371,106.16

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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.