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Finding the Fourth Proportional to 376,180.47, 564,270.71 and 189,060.75

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Solution

The fourth proportional to 376,180.47, 564,270.71 and 189,060.75 is: 283,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,180.47 : 564,270.71 = 189,060.75 : x
  2. Step 2: Convert to fraction form
    376,180.47/564,270.71 = 189,060.75/x
  3. Step 3: Cross multiply
    376,180.47x = 564,270.71 × 189,060.75
  4. Step 4: Simplify right side
    376,180.47x = 106,681,442,690.33
  5. Step 5: Solve for x
    x = 106,681,442,690.33/376,180.47
  6. Step 6: Final answer
    x = 283,591.13

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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.