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Finding the Fourth Proportional to 422,957.97, 583,718.90 and 232,008.25

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Solution

The fourth proportional to 422,957.97, 583,718.90 and 232,008.25 is: 320,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,957.97 : 583,718.90 = 232,008.25 : x
  2. Step 2: Convert to fraction form
    422,957.97/583,718.90 = 232,008.25/x
  3. Step 3: Cross multiply
    422,957.97x = 583,718.90 × 232,008.25
  4. Step 4: Simplify right side
    422,957.97x = 135,427,600,480.93
  5. Step 5: Solve for x
    x = 135,427,600,480.93/422,957.97
  6. Step 6: Final answer
    x = 320,191.63

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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.