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Finding the Fourth Proportional to 409,861.52, 614,791.71 and 110,342.42

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Solution

The fourth proportional to 409,861.52, 614,791.71 and 110,342.42 is: 165,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861.52 : 614,791.71 = 110,342.42 : x
  2. Step 2: Convert to fraction form
    409,861.52/614,791.71 = 110,342.42/x
  3. Step 3: Cross multiply
    409,861.52x = 614,791.71 × 110,342.42
  4. Step 4: Simplify right side
    409,861.52x = 67,837,602,003.38
  5. Step 5: Solve for x
    x = 67,837,602,003.38/409,861.52
  6. Step 6: Final answer
    x = 165,513.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.