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Finding the Fourth Proportional to 417,550.23, 626,018.63 and 133,077.08

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Solution

The fourth proportional to 417,550.23, 626,018.63 and 133,077.08 is: 199,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,550.23 : 626,018.63 = 133,077.08 : x
  2. Step 2: Convert to fraction form
    417,550.23/626,018.63 = 133,077.08/x
  3. Step 3: Cross multiply
    417,550.23x = 626,018.63 × 133,077.08
  4. Step 4: Simplify right side
    417,550.23x = 83,308,732,205.66
  5. Step 5: Solve for x
    x = 83,308,732,205.66/417,550.23
  6. Step 6: Final answer
    x = 199,517.87

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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.