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Finding the Fourth Proportional to 273,497.31, 410,310.40 and 93,584.69

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Solution

The fourth proportional to 273,497.31, 410,310.40 and 93,584.69 is: 140,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,497.31 : 410,310.40 = 93,584.69 : x
  2. Step 2: Convert to fraction form
    273,497.31/410,310.40 = 93,584.69/x
  3. Step 3: Cross multiply
    273,497.31x = 410,310.40 × 93,584.69
  4. Step 4: Simplify right side
    273,497.31x = 38,398,771,587.78
  5. Step 5: Solve for x
    x = 38,398,771,587.78/273,497.31
  6. Step 6: Final answer
    x = 140,399.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.