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Finding the Fourth Proportional to 338,974.40, 508,461.60 and 206,115.20

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Solution

The fourth proportional to 338,974.40, 508,461.60 and 206,115.20 is: 309,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,974.40 : 508,461.60 = 206,115.20 : x
  2. Step 2: Convert to fraction form
    338,974.40/508,461.60 = 206,115.20/x
  3. Step 3: Cross multiply
    338,974.40x = 508,461.60 × 206,115.20
  4. Step 4: Simplify right side
    338,974.40x = 104,801,664,376.32
  5. Step 5: Solve for x
    x = 104,801,664,376.32/338,974.40
  6. Step 6: Final answer
    x = 309,172.80

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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.