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Finding the Fourth Proportional to 291,958.52, 402,916.57 and 164,631.38

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Solution

The fourth proportional to 291,958.52, 402,916.57 and 164,631.38 is: 227,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,958.52 : 402,916.57 = 164,631.38 : x
  2. Step 2: Convert to fraction form
    291,958.52/402,916.57 = 164,631.38/x
  3. Step 3: Cross multiply
    291,958.52x = 402,916.57 × 164,631.38
  4. Step 4: Simplify right side
    291,958.52x = 66,332,710,943.97
  5. Step 5: Solve for x
    x = 66,332,710,943.97/291,958.52
  6. Step 6: Final answer
    x = 227,199.09

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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.