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Finding the Fourth Proportional to 471,691.24, 650,935.47 and 256,832.59

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Solution

The fourth proportional to 471,691.24, 650,935.47 and 256,832.59 is: 354,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,691.24 : 650,935.47 = 256,832.59 : x
  2. Step 2: Convert to fraction form
    471,691.24/650,935.47 = 256,832.59/x
  3. Step 3: Cross multiply
    471,691.24x = 650,935.47 × 256,832.59
  4. Step 4: Simplify right side
    471,691.24x = 167,181,442,682.97
  5. Step 5: Solve for x
    x = 167,181,442,682.97/471,691.24
  6. Step 6: Final answer
    x = 354,429.82

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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.