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Finding the Fourth Proportional to 307,869.20, 461,803.80 and 202,806.80

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Solution

The fourth proportional to 307,869.20, 461,803.80 and 202,806.80 is: 304,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,869.20 : 461,803.80 = 202,806.80 : x
  2. Step 2: Convert to fraction form
    307,869.20/461,803.80 = 202,806.80/x
  3. Step 3: Cross multiply
    307,869.20x = 461,803.80 × 202,806.80
  4. Step 4: Simplify right side
    307,869.20x = 93,656,950,905.84
  5. Step 5: Solve for x
    x = 93,656,950,905.84/307,869.20
  6. Step 6: Final answer
    x = 304,210.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.