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Finding the Fourth Proportional to 417,261.70, 625,866.63 and 132,945.22

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Solution

The fourth proportional to 417,261.70, 625,866.63 and 132,945.22 is: 199,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,261.70 : 625,866.63 = 132,945.22 : x
  2. Step 2: Convert to fraction form
    417,261.70/625,866.63 = 132,945.22/x
  3. Step 3: Cross multiply
    417,261.70x = 625,866.63 × 132,945.22
  4. Step 4: Simplify right side
    417,261.70x = 83,205,976,816.01
  5. Step 5: Solve for x
    x = 83,205,976,816.01/417,261.70
  6. Step 6: Final answer
    x = 199,409.57

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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.