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Finding the Fourth Proportional to 381,807.20, 572,710.80 and 224,343.20

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Solution

The fourth proportional to 381,807.20, 572,710.80 and 224,343.20 is: 336,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,807.20 : 572,710.80 = 224,343.20 : x
  2. Step 2: Convert to fraction form
    381,807.20/572,710.80 = 224,343.20/x
  3. Step 3: Cross multiply
    381,807.20x = 572,710.80 × 224,343.20
  4. Step 4: Simplify right side
    381,807.20x = 128,483,773,546.56
  5. Step 5: Solve for x
    x = 128,483,773,546.56/381,807.20
  6. Step 6: Final answer
    x = 336,514.80

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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.