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Finding the Fourth Proportional to 471,095.76, 650,105.88 and 256,231.20

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Solution

The fourth proportional to 471,095.76, 650,105.88 and 256,231.20 is: 353,595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,095.76 : 650,105.88 = 256,231.20 : x
  2. Step 2: Convert to fraction form
    471,095.76/650,105.88 = 256,231.20/x
  3. Step 3: Cross multiply
    471,095.76x = 650,105.88 × 256,231.20
  4. Step 4: Simplify right side
    471,095.76x = 166,577,409,759.46
  5. Step 5: Solve for x
    x = 166,577,409,759.46/471,095.76
  6. Step 6: Final answer
    x = 353,595.65

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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.