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Finding the Fourth Proportional to 290,113.76, 400,385.76 and 194,818.88

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Solution

The fourth proportional to 290,113.76, 400,385.76 and 194,818.88 is: 268,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,113.76 : 400,385.76 = 194,818.88 : x
  2. Step 2: Convert to fraction form
    290,113.76/400,385.76 = 194,818.88/x
  3. Step 3: Cross multiply
    290,113.76x = 400,385.76 × 194,818.88
  4. Step 4: Simplify right side
    290,113.76x = 78,002,705,331.15
  5. Step 5: Solve for x
    x = 78,002,705,331.15/290,113.76
  6. Step 6: Final answer
    x = 268,869.38

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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.