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Finding the Fourth Proportional to 292,901.76, 404,221.86 and 165,589.20

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Solution

The fourth proportional to 292,901.76, 404,221.86 and 165,589.20 is: 228,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,901.76 : 404,221.86 = 165,589.20 : x
  2. Step 2: Convert to fraction form
    292,901.76/404,221.86 = 165,589.20/x
  3. Step 3: Cross multiply
    292,901.76x = 404,221.86 × 165,589.20
  4. Step 4: Simplify right side
    292,901.76x = 66,934,774,419.91
  5. Step 5: Solve for x
    x = 66,934,774,419.91/292,901.76
  6. Step 6: Final answer
    x = 228,522.95

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1.5x scale

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.