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Finding the Fourth Proportional to 376,945.74, 564,881.85 and 187,220.18

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Solution

The fourth proportional to 376,945.74, 564,881.85 and 187,220.18 is: 280,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,945.74 : 564,881.85 = 187,220.18 : x
  2. Step 2: Convert to fraction form
    376,945.74/564,881.85 = 187,220.18/x
  3. Step 3: Cross multiply
    376,945.74x = 564,881.85 × 187,220.18
  4. Step 4: Simplify right side
    376,945.74x = 105,757,283,047.94
  5. Step 5: Solve for x
    x = 105,757,283,047.94/376,945.74
  6. Step 6: Final answer
    x = 280,563.68

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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.