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Finding the Fourth Proportional to 292,298.28, 403,439.04 and 171,478.38

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Solution

The fourth proportional to 292,298.28, 403,439.04 and 171,478.38 is: 236,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,298.28 : 403,439.04 = 171,478.38 : x
  2. Step 2: Convert to fraction form
    292,298.28/403,439.04 = 171,478.38/x
  3. Step 3: Cross multiply
    292,298.28x = 403,439.04 × 171,478.38
  4. Step 4: Simplify right side
    292,298.28x = 69,181,073,587.86
  5. Step 5: Solve for x
    x = 69,181,073,587.86/292,298.28
  6. Step 6: Final answer
    x = 236,679.71

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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.