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Finding the Fourth Proportional to 400,099.28, 551,876.82 and 256,632.08

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Solution

The fourth proportional to 400,099.28, 551,876.82 and 256,632.08 is: 353,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,099.28 : 551,876.82 = 256,632.08 : x
  2. Step 2: Convert to fraction form
    400,099.28/551,876.82 = 256,632.08/x
  3. Step 3: Cross multiply
    400,099.28x = 551,876.82 × 256,632.08
  4. Step 4: Simplify right side
    400,099.28x = 141,629,296,220.39
  5. Step 5: Solve for x
    x = 141,629,296,220.39/400,099.28
  6. Step 6: Final answer
    x = 353,985.38

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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.