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Finding the Fourth Proportional to 471,177.92, 650,218.80 and 256,319.84

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Solution

The fourth proportional to 471,177.92, 650,218.80 and 256,319.84 is: 353,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,177.92 : 650,218.80 = 256,319.84 : x
  2. Step 2: Convert to fraction form
    471,177.92/650,218.80 = 256,319.84/x
  3. Step 3: Cross multiply
    471,177.92x = 650,218.80 × 256,319.84
  4. Step 4: Simplify right side
    471,177.92x = 166,663,978,780.99
  5. Step 5: Solve for x
    x = 166,663,978,780.99/471,177.92
  6. Step 6: Final answer
    x = 353,717.72

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1.5x scale

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.