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Finding the Fourth Proportional to 431,982.28, 647,970.66 and 147,535.60

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Solution

The fourth proportional to 431,982.28, 647,970.66 and 147,535.60 is: 221,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,982.28 : 647,970.66 = 147,535.60 : x
  2. Step 2: Convert to fraction form
    431,982.28/647,970.66 = 147,535.60/x
  3. Step 3: Cross multiply
    431,982.28x = 647,970.66 × 147,535.60
  4. Step 4: Simplify right side
    431,982.28x = 95,598,740,105.50
  5. Step 5: Solve for x
    x = 95,598,740,105.50/431,982.28
  6. Step 6: Final answer
    x = 221,302.46

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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.