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Finding the Fourth Proportional to 376,280.30, 564,123.98 and 186,613.94

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Solution

The fourth proportional to 376,280.30, 564,123.98 and 186,613.94 is: 279,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,280.30 : 564,123.98 = 186,613.94 : x
  2. Step 2: Convert to fraction form
    376,280.30/564,123.98 = 186,613.94/x
  3. Step 3: Cross multiply
    376,280.30x = 564,123.98 × 186,613.94
  4. Step 4: Simplify right side
    376,280.30x = 105,273,396,202.20
  5. Step 5: Solve for x
    x = 105,273,396,202.20/376,280.30
  6. Step 6: Final answer
    x = 279,773.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.