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Finding the Fourth Proportional to 421,427.76, 581,591.92 and 230,439.12

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Solution

The fourth proportional to 421,427.76, 581,591.92 and 230,439.12 is: 318,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,427.76 : 581,591.92 = 230,439.12 : x
  2. Step 2: Convert to fraction form
    421,427.76/581,591.92 = 230,439.12/x
  3. Step 3: Cross multiply
    421,427.76x = 581,591.92 × 230,439.12
  4. Step 4: Simplify right side
    421,427.76x = 134,021,530,243.91
  5. Step 5: Solve for x
    x = 134,021,530,243.91/421,427.76
  6. Step 6: Final answer
    x = 318,017.80

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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.