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Finding the Fourth Proportional to 422,574.84, 583,158.42 and 231,584.13

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Solution

The fourth proportional to 422,574.84, 583,158.42 and 231,584.13 is: 319,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,574.84 : 583,158.42 = 231,584.13 : x
  2. Step 2: Convert to fraction form
    422,574.84/583,158.42 = 231,584.13/x
  3. Step 3: Cross multiply
    422,574.84x = 583,158.42 × 231,584.13
  4. Step 4: Simplify right side
    422,574.84x = 135,050,235,347.88
  5. Step 5: Solve for x
    x = 135,050,235,347.88/422,574.84
  6. Step 6: Final answer
    x = 319,588.92

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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.