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Finding the Fourth Proportional to 431,431.60, 647,147.40 and 221,479.60

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Solution

The fourth proportional to 431,431.60, 647,147.40 and 221,479.60 is: 332,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,431.60 : 647,147.40 = 221,479.60 : x
  2. Step 2: Convert to fraction form
    431,431.60/647,147.40 = 221,479.60/x
  3. Step 3: Cross multiply
    431,431.60x = 647,147.40 × 221,479.60
  4. Step 4: Simplify right side
    431,431.60x = 143,329,947,293.04
  5. Step 5: Solve for x
    x = 143,329,947,293.04/431,431.60
  6. Step 6: Final answer
    x = 332,219.40

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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.