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Finding the Fourth Proportional to 471,057.53, 650,040.68 and 256,197.47

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Solution

The fourth proportional to 471,057.53, 650,040.68 and 256,197.47 is: 353,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,057.53 : 650,040.68 = 256,197.47 : x
  2. Step 2: Convert to fraction form
    471,057.53/650,040.68 = 256,197.47/x
  3. Step 3: Cross multiply
    471,057.53x = 650,040.68 × 256,197.47
  4. Step 4: Simplify right side
    471,057.53x = 166,538,776,332.09
  5. Step 5: Solve for x
    x = 166,538,776,332.09/471,057.53
  6. Step 6: Final answer
    x = 353,542.33

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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.