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Finding the Fourth Proportional to 456,039.72, 684,061.20 and 268,920

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Solution

The fourth proportional to 456,039.72, 684,061.20 and 268,920 is: 403,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,039.72 : 684,061.20 = 268,920 : x
  2. Step 2: Convert to fraction form
    456,039.72/684,061.20 = 268,920/x
  3. Step 3: Cross multiply
    456,039.72x = 684,061.20 × 268,920
  4. Step 4: Simplify right side
    456,039.72x = 183,957,737,904
  5. Step 5: Solve for x
    x = 183,957,737,904/456,039.72
  6. Step 6: Final answer
    x = 403,380.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.