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Finding the Fourth Proportional to 389,902.60, 585,113.10 and 221,422.60

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Solution

The fourth proportional to 389,902.60, 585,113.10 and 221,422.60 is: 332,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,902.60 : 585,113.10 = 221,422.60 : x
  2. Step 2: Convert to fraction form
    389,902.60/585,113.10 = 221,422.60/x
  3. Step 3: Cross multiply
    389,902.60x = 585,113.10 × 221,422.60
  4. Step 4: Simplify right side
    389,902.60x = 129,557,263,896.06
  5. Step 5: Solve for x
    x = 129,557,263,896.06/389,902.60
  6. Step 6: Final answer
    x = 332,281.10

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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.