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Finding the Fourth Proportional to 312,012.96, 430,540.84 and 176,038.96

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Solution

The fourth proportional to 312,012.96, 430,540.84 and 176,038.96 is: 242,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012.96 : 430,540.84 = 176,038.96 : x
  2. Step 2: Convert to fraction form
    312,012.96/430,540.84 = 176,038.96/x
  3. Step 3: Cross multiply
    312,012.96x = 430,540.84 × 176,038.96
  4. Step 4: Simplify right side
    312,012.96x = 75,791,961,711.13
  5. Step 5: Solve for x
    x = 75,791,961,711.13/312,012.96
  6. Step 6: Final answer
    x = 242,912.86

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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.