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Finding the Fourth Proportional to 307,572.80, 461,359.20 and 266,100.80

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Solution

The fourth proportional to 307,572.80, 461,359.20 and 266,100.80 is: 399,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,572.80 : 461,359.20 = 266,100.80 : x
  2. Step 2: Convert to fraction form
    307,572.80/461,359.20 = 266,100.80/x
  3. Step 3: Cross multiply
    307,572.80x = 461,359.20 × 266,100.80
  4. Step 4: Simplify right side
    307,572.80x = 122,768,052,207.36
  5. Step 5: Solve for x
    x = 122,768,052,207.36/307,572.80
  6. Step 6: Final answer
    x = 399,151.20

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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.