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Finding the Fourth Proportional to 293,672.72, 440,525.76 and 83,294

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Solution

The fourth proportional to 293,672.72, 440,525.76 and 83,294 is: 124,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,672.72 : 440,525.76 = 83,294 : x
  2. Step 2: Convert to fraction form
    293,672.72/440,525.76 = 83,294/x
  3. Step 3: Cross multiply
    293,672.72x = 440,525.76 × 83,294
  4. Step 4: Simplify right side
    293,672.72x = 36,693,152,653.44
  5. Step 5: Solve for x
    x = 36,693,152,653.44/293,672.72
  6. Step 6: Final answer
    x = 124,945.73

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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.