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Finding the Fourth Proportional to 291,947.70, 402,882.42 and 164,623.38

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Solution

The fourth proportional to 291,947.70, 402,882.42 and 164,623.38 is: 227,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,947.70 : 402,882.42 = 164,623.38 : x
  2. Step 2: Convert to fraction form
    291,947.70/402,882.42 = 164,623.38/x
  3. Step 3: Cross multiply
    291,947.70x = 402,882.42 × 164,623.38
  4. Step 4: Simplify right side
    291,947.70x = 66,323,865,722.98
  5. Step 5: Solve for x
    x = 66,323,865,722.98/291,947.70
  6. Step 6: Final answer
    x = 227,177.22

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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.