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Finding the Fourth Proportional to 442,883.60, 664,325.40 and 206,687.60

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Solution

The fourth proportional to 442,883.60, 664,325.40 and 206,687.60 is: 310,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,883.60 : 664,325.40 = 206,687.60 : x
  2. Step 2: Convert to fraction form
    442,883.60/664,325.40 = 206,687.60/x
  3. Step 3: Cross multiply
    442,883.60x = 664,325.40 × 206,687.60
  4. Step 4: Simplify right side
    442,883.60x = 137,307,822,545.04
  5. Step 5: Solve for x
    x = 137,307,822,545.04/442,883.60
  6. Step 6: Final answer
    x = 310,031.40

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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.