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Finding the Fourth Proportional to 262,296.60, 393,542.10 and 84,809.40

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Solution

The fourth proportional to 262,296.60, 393,542.10 and 84,809.40 is: 127,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,296.60 : 393,542.10 = 84,809.40 : x
  2. Step 2: Convert to fraction form
    262,296.60/393,542.10 = 84,809.40/x
  3. Step 3: Cross multiply
    262,296.60x = 393,542.10 × 84,809.40
  4. Step 4: Simplify right side
    262,296.60x = 33,376,069,375.74
  5. Step 5: Solve for x
    x = 33,376,069,375.74/262,296.60
  6. Step 6: Final answer
    x = 127,245.53

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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.