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Finding the Fourth Proportional to 272,031.40, 408,047.10 and 205,676.20

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Solution

The fourth proportional to 272,031.40, 408,047.10 and 205,676.20 is: 308,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,031.40 : 408,047.10 = 205,676.20 : x
  2. Step 2: Convert to fraction form
    272,031.40/408,047.10 = 205,676.20/x
  3. Step 3: Cross multiply
    272,031.40x = 408,047.10 × 205,676.20
  4. Step 4: Simplify right side
    272,031.40x = 83,925,576,949.02
  5. Step 5: Solve for x
    x = 83,925,576,949.02/272,031.40
  6. Step 6: Final answer
    x = 308,514.30

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1.5x scale

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.