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Finding the Fourth Proportional to 307,871.20, 461,806.80 and 202,808.80

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Solution

The fourth proportional to 307,871.20, 461,806.80 and 202,808.80 is: 304,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,871.20 : 461,806.80 = 202,808.80 : x
  2. Step 2: Convert to fraction form
    307,871.20/461,806.80 = 202,808.80/x
  3. Step 3: Cross multiply
    307,871.20x = 461,806.80 × 202,808.80
  4. Step 4: Simplify right side
    307,871.20x = 93,658,482,939.84
  5. Step 5: Solve for x
    x = 93,658,482,939.84/307,871.20
  6. Step 6: Final answer
    x = 304,213.20

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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.