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Finding the Fourth Proportional to 293,673.72, 440,527.26 and 83,295

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Solution

The fourth proportional to 293,673.72, 440,527.26 and 83,295 is: 124,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,673.72 : 440,527.26 = 83,295 : x
  2. Step 2: Convert to fraction form
    293,673.72/440,527.26 = 83,295/x
  3. Step 3: Cross multiply
    293,673.72x = 440,527.26 × 83,295
  4. Step 4: Simplify right side
    293,673.72x = 36,693,718,121.70
  5. Step 5: Solve for x
    x = 36,693,718,121.70/293,673.72
  6. Step 6: Final answer
    x = 124,947.23

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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.