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Finding the Fourth Proportional to 376,193.98, 564,309.47 and 151,524.04

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Solution

The fourth proportional to 376,193.98, 564,309.47 and 151,524.04 is: 227,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,193.98 : 564,309.47 = 151,524.04 : x
  2. Step 2: Convert to fraction form
    376,193.98/564,309.47 = 151,524.04/x
  3. Step 3: Cross multiply
    376,193.98x = 564,309.47 × 151,524.04
  4. Step 4: Simplify right side
    376,193.98x = 85,506,449,013.23
  5. Step 5: Solve for x
    x = 85,506,449,013.23/376,193.98
  6. Step 6: Final answer
    x = 227,293.51

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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.