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Finding the Fourth Proportional to 417,424.88, 626,239.22 and 133,115.43

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Solution

The fourth proportional to 417,424.88, 626,239.22 and 133,115.43 is: 199,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,424.88 : 626,239.22 = 133,115.43 : x
  2. Step 2: Convert to fraction form
    417,424.88/626,239.22 = 133,115.43/x
  3. Step 3: Cross multiply
    417,424.88x = 626,239.22 × 133,115.43
  4. Step 4: Simplify right side
    417,424.88x = 83,362,103,053.16
  5. Step 5: Solve for x
    x = 83,362,103,053.16/417,424.88
  6. Step 6: Final answer
    x = 199,705.64

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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.