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Finding the Fourth Proportional to 272,488.40, 408,732.60 and 206,133.20

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Solution

The fourth proportional to 272,488.40, 408,732.60 and 206,133.20 is: 309,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,488.40 : 408,732.60 = 206,133.20 : x
  2. Step 2: Convert to fraction form
    272,488.40/408,732.60 = 206,133.20/x
  3. Step 3: Cross multiply
    272,488.40x = 408,732.60 × 206,133.20
  4. Step 4: Simplify right side
    272,488.40x = 84,253,358,782.32
  5. Step 5: Solve for x
    x = 84,253,358,782.32/272,488.40
  6. Step 6: Final answer
    x = 309,199.80

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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.