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Finding the Fourth Proportional to 292,634.92, 403,868.97 and 165,318.71

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Solution

The fourth proportional to 292,634.92, 403,868.97 and 165,318.71 is: 228,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,634.92 : 403,868.97 = 165,318.71 : x
  2. Step 2: Convert to fraction form
    292,634.92/403,868.97 = 165,318.71/x
  3. Step 3: Cross multiply
    292,634.92x = 403,868.97 × 165,318.71
  4. Step 4: Simplify right side
    292,634.92x = 66,767,097,129.43
  5. Step 5: Solve for x
    x = 66,767,097,129.43/292,634.92
  6. Step 6: Final answer
    x = 228,158.34

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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.