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Finding the Fourth Proportional to 292,476.74, 403,626.17 and 165,171.47

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Solution

The fourth proportional to 292,476.74, 403,626.17 and 165,171.47 is: 227,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,476.74 : 403,626.17 = 165,171.47 : x
  2. Step 2: Convert to fraction form
    292,476.74/403,626.17 = 165,171.47/x
  3. Step 3: Cross multiply
    292,476.74x = 403,626.17 × 165,171.47
  4. Step 4: Simplify right side
    292,476.74x = 66,667,526,224.17
  5. Step 5: Solve for x
    x = 66,667,526,224.17/292,476.74
  6. Step 6: Final answer
    x = 227,941.30

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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.