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Finding the Fourth Proportional to 423,002.82, 583,733.88 and 232,014.54

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Solution

The fourth proportional to 423,002.82, 583,733.88 and 232,014.54 is: 320,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,002.82 : 583,733.88 = 232,014.54 : x
  2. Step 2: Convert to fraction form
    423,002.82/583,733.88 = 232,014.54/x
  3. Step 3: Cross multiply
    423,002.82x = 583,733.88 × 232,014.54
  4. Step 4: Simplify right side
    423,002.82x = 135,434,747,650.62
  5. Step 5: Solve for x
    x = 135,434,747,650.62/423,002.82
  6. Step 6: Final answer
    x = 320,174.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.