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Finding the Fourth Proportional to 312,061.28, 430,644.18 and 168,821

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Solution

The fourth proportional to 312,061.28, 430,644.18 and 168,821 is: 232,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,061.28 : 430,644.18 = 168,821 : x
  2. Step 2: Convert to fraction form
    312,061.28/430,644.18 = 168,821/x
  3. Step 3: Cross multiply
    312,061.28x = 430,644.18 × 168,821
  4. Step 4: Simplify right side
    312,061.28x = 72,701,781,111.78
  5. Step 5: Solve for x
    x = 72,701,781,111.78/312,061.28
  6. Step 6: Final answer
    x = 232,972.77

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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.