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Finding the Fourth Proportional to 376,442.30, 564,165.02 and 276,132.90

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Solution

The fourth proportional to 376,442.30, 564,165.02 and 276,132.90 is: 413,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,442.30 : 564,165.02 = 276,132.90 : x
  2. Step 2: Convert to fraction form
    376,442.30/564,165.02 = 276,132.90/x
  3. Step 3: Cross multiply
    376,442.30x = 564,165.02 × 276,132.90
  4. Step 4: Simplify right side
    376,442.30x = 155,784,523,051.16
  5. Step 5: Solve for x
    x = 155,784,523,051.16/376,442.30
  6. Step 6: Final answer
    x = 413,833.74

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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.