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Finding the Fourth Proportional to 293,829.72, 440,744.57 and 83,440.32

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Solution

The fourth proportional to 293,829.72, 440,744.57 and 83,440.32 is: 125,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,829.72 : 440,744.57 = 83,440.32 : x
  2. Step 2: Convert to fraction form
    293,829.72/440,744.57 = 83,440.32/x
  3. Step 3: Cross multiply
    293,829.72x = 440,744.57 × 83,440.32
  4. Step 4: Simplify right side
    293,829.72x = 36,775,867,959.06
  5. Step 5: Solve for x
    x = 36,775,867,959.06/293,829.72
  6. Step 6: Final answer
    x = 125,160.48

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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.