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Finding the Fourth Proportional to 471,155.95, 650,200.20 and 256,296.57

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Solution

The fourth proportional to 471,155.95, 650,200.20 and 256,296.57 is: 353,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,155.95 : 650,200.20 = 256,296.57 : x
  2. Step 2: Convert to fraction form
    471,155.95/650,200.20 = 256,296.57/x
  3. Step 3: Cross multiply
    471,155.95x = 650,200.20 × 256,296.57
  4. Step 4: Simplify right side
    471,155.95x = 166,644,077,673.95
  5. Step 5: Solve for x
    x = 166,644,077,673.95/471,155.95
  6. Step 6: Final answer
    x = 353,691.97

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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.