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Finding the Fourth Proportional to 422,527.52, 583,102.18 and 231,539.24

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Solution

The fourth proportional to 422,527.52, 583,102.18 and 231,539.24 is: 319,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,527.52 : 583,102.18 = 231,539.24 : x
  2. Step 2: Convert to fraction form
    422,527.52/583,102.18 = 231,539.24/x
  3. Step 3: Cross multiply
    422,527.52x = 583,102.18 × 231,539.24
  4. Step 4: Simplify right side
    422,527.52x = 135,011,035,599.54
  5. Step 5: Solve for x
    x = 135,011,035,599.54/422,527.52
  6. Step 6: Final answer
    x = 319,531.93

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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.