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Finding the Fourth Proportional to 417,583.77, 626,376.87 and 177,635.85

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Solution

The fourth proportional to 417,583.77, 626,376.87 and 177,635.85 is: 266,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,583.77 : 626,376.87 = 177,635.85 : x
  2. Step 2: Convert to fraction form
    417,583.77/626,376.87 = 177,635.85/x
  3. Step 3: Cross multiply
    417,583.77x = 626,376.87 × 177,635.85
  4. Step 4: Simplify right side
    417,583.77x = 111,266,987,722.79
  5. Step 5: Solve for x
    x = 111,266,987,722.79/417,583.77
  6. Step 6: Final answer
    x = 266,454.29

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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.