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Finding the Fourth Proportional to 289,943.38, 400,123.29 and 162,625.78

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Solution

The fourth proportional to 289,943.38, 400,123.29 and 162,625.78 is: 224,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,943.38 : 400,123.29 = 162,625.78 : x
  2. Step 2: Convert to fraction form
    289,943.38/400,123.29 = 162,625.78/x
  3. Step 3: Cross multiply
    289,943.38x = 400,123.29 × 162,625.78
  4. Step 4: Simplify right side
    289,943.38x = 65,070,362,132.42
  5. Step 5: Solve for x
    x = 65,070,362,132.42/289,943.38
  6. Step 6: Final answer
    x = 224,424.38

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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.