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Finding the Fourth Proportional to 412,227.20, 618,340.80 and 202,275.20

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Solution

The fourth proportional to 412,227.20, 618,340.80 and 202,275.20 is: 303,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227.20 : 618,340.80 = 202,275.20 : x
  2. Step 2: Convert to fraction form
    412,227.20/618,340.80 = 202,275.20/x
  3. Step 3: Cross multiply
    412,227.20x = 618,340.80 × 202,275.20
  4. Step 4: Simplify right side
    412,227.20x = 125,075,008,988.16
  5. Step 5: Solve for x
    x = 125,075,008,988.16/412,227.20
  6. Step 6: Final answer
    x = 303,412.80

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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.