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Finding the Fourth Proportional to 384,424.20, 576,737.10 and 147,774.60

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Solution

The fourth proportional to 384,424.20, 576,737.10 and 147,774.60 is: 221,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,424.20 : 576,737.10 = 147,774.60 : x
  2. Step 2: Convert to fraction form
    384,424.20/576,737.10 = 147,774.60/x
  3. Step 3: Cross multiply
    384,424.20x = 576,737.10 × 147,774.60
  4. Step 4: Simplify right side
    384,424.20x = 85,227,094,257.66
  5. Step 5: Solve for x
    x = 85,227,094,257.66/384,424.20
  6. Step 6: Final answer
    x = 221,700.65

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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.