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Finding the Fourth Proportional to 293,722.44, 440,575.92 and 83,360.40

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Solution

The fourth proportional to 293,722.44, 440,575.92 and 83,360.40 is: 125,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.44 : 440,575.92 = 83,360.40 : x
  2. Step 2: Convert to fraction form
    293,722.44/440,575.92 = 83,360.40/x
  3. Step 3: Cross multiply
    293,722.44x = 440,575.92 × 83,360.40
  4. Step 4: Simplify right side
    293,722.44x = 36,726,584,921.57
  5. Step 5: Solve for x
    x = 36,726,584,921.57/293,722.44
  6. Step 6: Final answer
    x = 125,038.40

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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.