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Finding the Fourth Proportional to 381,663.10, 572,321.85 and 144,927.10

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Solution

The fourth proportional to 381,663.10, 572,321.85 and 144,927.10 is: 217,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,663.10 : 572,321.85 = 144,927.10 : x
  2. Step 2: Convert to fraction form
    381,663.10/572,321.85 = 144,927.10/x
  3. Step 3: Cross multiply
    381,663.10x = 572,321.85 × 144,927.10
  4. Step 4: Simplify right side
    381,663.10x = 82,944,945,987.14
  5. Step 5: Solve for x
    x = 82,944,945,987.14/381,663.10
  6. Step 6: Final answer
    x = 217,325.03

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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.