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Finding the Fourth Proportional to 422,482.94, 583,040.01 and 231,508.46

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Solution

The fourth proportional to 422,482.94, 583,040.01 and 231,508.46 is: 319,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,482.94 : 583,040.01 = 231,508.46 : x
  2. Step 2: Convert to fraction form
    422,482.94/583,040.01 = 231,508.46/x
  3. Step 3: Cross multiply
    422,482.94x = 583,040.01 × 231,508.46
  4. Step 4: Simplify right side
    422,482.94x = 134,978,694,833.49
  5. Step 5: Solve for x
    x = 134,978,694,833.49/422,482.94
  6. Step 6: Final answer
    x = 319,489.10

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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.