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Finding the Fourth Proportional to 272,031.60, 408,047.40 and 269,407.20

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Solution

The fourth proportional to 272,031.60, 408,047.40 and 269,407.20 is: 404,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031.60 : 408,047.40 = 269,407.20 : x
  2. Step 2: Convert to fraction form
    272,031.60/408,047.40 = 269,407.20/x
  3. Step 3: Cross multiply
    272,031.60x = 408,047.40 × 269,407.20
  4. Step 4: Simplify right side
    272,031.60x = 109,930,907,501.28
  5. Step 5: Solve for x
    x = 109,930,907,501.28/272,031.60
  6. Step 6: Final answer
    x = 404,110.80

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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.