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Finding the Fourth Proportional to 801,400.80, 1,202,101.20 and 765,971.40

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Solution

The fourth proportional to 801,400.80, 1,202,101.20 and 765,971.40 is: 1,148,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,400.80 : 1,202,101.20 = 765,971.40 : x
  2. Step 2: Convert to fraction form
    801,400.80/1,202,101.20 = 765,971.40/x
  3. Step 3: Cross multiply
    801,400.80x = 1,202,101.20 × 765,971.40
  4. Step 4: Simplify right side
    801,400.80x = 920,775,139,105.68
  5. Step 5: Solve for x
    x = 920,775,139,105.68/801,400.80
  6. Step 6: Final answer
    x = 1,148,957.10

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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.