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Finding the Fourth Proportional to 471,234.76, 650,285.01 and 256,375.71

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Solution

The fourth proportional to 471,234.76, 650,285.01 and 256,375.71 is: 353,788.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,234.76 : 650,285.01 = 256,375.71 : x
  2. Step 2: Convert to fraction form
    471,234.76/650,285.01 = 256,375.71/x
  3. Step 3: Cross multiply
    471,234.76x = 650,285.01 × 256,375.71
  4. Step 4: Simplify right side
    471,234.76x = 166,717,281,141.11
  5. Step 5: Solve for x
    x = 166,717,281,141.11/471,234.76
  6. Step 6: Final answer
    x = 353,788.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.