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Finding the Fourth Proportional to 333,147.29, 459,743.87 and 182,244.29

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Solution

The fourth proportional to 333,147.29, 459,743.87 and 182,244.29 is: 251,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,147.29 : 459,743.87 = 182,244.29 : x
  2. Step 2: Convert to fraction form
    333,147.29/459,743.87 = 182,244.29/x
  3. Step 3: Cross multiply
    333,147.29x = 459,743.87 × 182,244.29
  4. Step 4: Simplify right side
    333,147.29x = 83,785,694,258.78
  5. Step 5: Solve for x
    x = 83,785,694,258.78/333,147.29
  6. Step 6: Final answer
    x = 251,497.45

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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.