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Finding the Fourth Proportional to 376,469.06, 564,814.16 and 151,713.81

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Solution

The fourth proportional to 376,469.06, 564,814.16 and 151,713.81 is: 227,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,469.06 : 564,814.16 = 151,713.81 : x
  2. Step 2: Convert to fraction form
    376,469.06/564,814.16 = 151,713.81/x
  3. Step 3: Cross multiply
    376,469.06x = 564,814.16 × 151,713.81
  4. Step 4: Simplify right side
    376,469.06x = 85,690,104,572.91
  5. Step 5: Solve for x
    x = 85,690,104,572.91/376,469.06
  6. Step 6: Final answer
    x = 227,615.26

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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.