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Finding the Fourth Proportional to 376,226.76, 564,007.94 and 287,874.66

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Solution

The fourth proportional to 376,226.76, 564,007.94 and 287,874.66 is: 431,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,226.76 : 564,007.94 = 287,874.66 : x
  2. Step 2: Convert to fraction form
    376,226.76/564,007.94 = 287,874.66/x
  3. Step 3: Cross multiply
    376,226.76x = 564,007.94 × 287,874.66
  4. Step 4: Simplify right side
    376,226.76x = 162,363,593,964.80
  5. Step 5: Solve for x
    x = 162,363,593,964.80/376,226.76
  6. Step 6: Final answer
    x = 431,557.80

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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.