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Finding the Fourth Proportional to 356,346.66, 491,766.36 and 203,381.76

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Solution

The fourth proportional to 356,346.66, 491,766.36 and 203,381.76 is: 280,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,346.66 : 491,766.36 = 203,381.76 : x
  2. Step 2: Convert to fraction form
    356,346.66/491,766.36 = 203,381.76/x
  3. Step 3: Cross multiply
    356,346.66x = 491,766.36 × 203,381.76
  4. Step 4: Simplify right side
    356,346.66x = 100,016,307,805.59
  5. Step 5: Solve for x
    x = 100,016,307,805.59/356,346.66
  6. Step 6: Final answer
    x = 280,671.38

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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.