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Finding the Fourth Proportional to 293,229.94, 439,853.10 and 103,663.54

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Solution

The fourth proportional to 293,229.94, 439,853.10 and 103,663.54 is: 155,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,229.94 : 439,853.10 = 103,663.54 : x
  2. Step 2: Convert to fraction form
    293,229.94/439,853.10 = 103,663.54/x
  3. Step 3: Cross multiply
    293,229.94x = 439,853.10 × 103,663.54
  4. Step 4: Simplify right side
    293,229.94x = 45,596,729,425.97
  5. Step 5: Solve for x
    x = 45,596,729,425.97/293,229.94
  6. Step 6: Final answer
    x = 155,498.21

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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.