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Finding the Fourth Proportional to 384,123.77, 576,534.21 and 194,715.90

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Solution

The fourth proportional to 384,123.77, 576,534.21 and 194,715.90 is: 292,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,123.77 : 576,534.21 = 194,715.90 : x
  2. Step 2: Convert to fraction form
    384,123.77/576,534.21 = 194,715.90/x
  3. Step 3: Cross multiply
    384,123.77x = 576,534.21 × 194,715.90
  4. Step 4: Simplify right side
    384,123.77x = 112,260,376,850.75
  5. Step 5: Solve for x
    x = 112,260,376,850.75/384,123.77
  6. Step 6: Final answer
    x = 292,250.53

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