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Finding the Fourth Proportional to 307,510.20, 461,351.70 and 149,743.80

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Solution

The fourth proportional to 307,510.20, 461,351.70 and 149,743.80 is: 224,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,510.20 : 461,351.70 = 149,743.80 : x
  2. Step 2: Convert to fraction form
    307,510.20/461,351.70 = 149,743.80/x
  3. Step 3: Cross multiply
    307,510.20x = 461,351.70 × 149,743.80
  4. Step 4: Simplify right side
    307,510.20x = 69,084,556,694.46
  5. Step 5: Solve for x
    x = 69,084,556,694.46/307,510.20
  6. Step 6: Final answer
    x = 224,657.77

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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.