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Finding the Fourth Proportional to 376,135.40, 564,197.16 and 151,490.54

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Solution

The fourth proportional to 376,135.40, 564,197.16 and 151,490.54 is: 227,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,135.40 : 564,197.16 = 151,490.54 : x
  2. Step 2: Convert to fraction form
    376,135.40/564,197.16 = 151,490.54/x
  3. Step 3: Cross multiply
    376,135.40x = 564,197.16 × 151,490.54
  4. Step 4: Simplify right side
    376,135.40x = 85,470,532,434.87
  5. Step 5: Solve for x
    x = 85,470,532,434.87/376,135.40
  6. Step 6: Final answer
    x = 227,233.42

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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.