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Finding the Fourth Proportional to 399,792.24, 551,737.44 and 230,022.72

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Solution

The fourth proportional to 399,792.24, 551,737.44 and 230,022.72 is: 317,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,792.24 : 551,737.44 = 230,022.72 : x
  2. Step 2: Convert to fraction form
    399,792.24/551,737.44 = 230,022.72/x
  3. Step 3: Cross multiply
    399,792.24x = 551,737.44 × 230,022.72
  4. Step 4: Simplify right side
    399,792.24x = 126,912,146,674.64
  5. Step 5: Solve for x
    x = 126,912,146,674.64/399,792.24
  6. Step 6: Final answer
    x = 317,445.25

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Why These Related Problems?

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