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Finding the Fourth Proportional to 272,822.40, 409,233.60 and 115,228.80

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Solution

The fourth proportional to 272,822.40, 409,233.60 and 115,228.80 is: 172,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,822.40 : 409,233.60 = 115,228.80 : x
  2. Step 2: Convert to fraction form
    272,822.40/409,233.60 = 115,228.80/x
  3. Step 3: Cross multiply
    272,822.40x = 409,233.60 × 115,228.80
  4. Step 4: Simplify right side
    272,822.40x = 47,155,496,647.68
  5. Step 5: Solve for x
    x = 47,155,496,647.68/272,822.40
  6. Step 6: Final answer
    x = 172,843.20

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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.