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Finding the Fourth Proportional to 422,953.92, 583,689.24 and 231,980.22

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Solution

The fourth proportional to 422,953.92, 583,689.24 and 231,980.22 is: 320,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,953.92 : 583,689.24 = 231,980.22 : x
  2. Step 2: Convert to fraction form
    422,953.92/583,689.24 = 231,980.22/x
  3. Step 3: Cross multiply
    422,953.92x = 583,689.24 × 231,980.22
  4. Step 4: Simplify right side
    422,953.92x = 135,404,358,306.83
  5. Step 5: Solve for x
    x = 135,404,358,306.83/422,953.92
  6. Step 6: Final answer
    x = 320,139.74

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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.