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Finding the Fourth Proportional to 471,697.38, 650,933.96 and 256,833.54

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Solution

The fourth proportional to 471,697.38, 650,933.96 and 256,833.54 is: 354,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,697.38 : 650,933.96 = 256,833.54 : x
  2. Step 2: Convert to fraction form
    471,697.38/650,933.96 = 256,833.54/x
  3. Step 3: Cross multiply
    471,697.38x = 650,933.96 × 256,833.54
  4. Step 4: Simplify right side
    471,697.38x = 167,181,671,968.85
  5. Step 5: Solve for x
    x = 167,181,671,968.85/471,697.38
  6. Step 6: Final answer
    x = 354,425.70

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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.