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Finding the Fourth Proportional to 293,627.62, 440,346.66 and 83,209.06

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Solution

The fourth proportional to 293,627.62, 440,346.66 and 83,209.06 is: 124,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,627.62 : 440,346.66 = 83,209.06 : x
  2. Step 2: Convert to fraction form
    293,627.62/440,346.66 = 83,209.06/x
  3. Step 3: Cross multiply
    293,627.62x = 440,346.66 × 83,209.06
  4. Step 4: Simplify right side
    293,627.62x = 36,640,831,652.74
  5. Step 5: Solve for x
    x = 36,640,831,652.74/293,627.62
  6. Step 6: Final answer
    x = 124,786.73

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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.