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Finding the Fourth Proportional to 424,269.78, 585,507.33 and 233,297.70

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Solution

The fourth proportional to 424,269.78, 585,507.33 and 233,297.70 is: 321,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,269.78 : 585,507.33 = 233,297.70 : x
  2. Step 2: Convert to fraction form
    424,269.78/585,507.33 = 233,297.70/x
  3. Step 3: Cross multiply
    424,269.78x = 585,507.33 × 233,297.70
  4. Step 4: Simplify right side
    424,269.78x = 136,597,513,422.14
  5. Step 5: Solve for x
    x = 136,597,513,422.14/424,269.78
  6. Step 6: Final answer
    x = 321,959.09

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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.