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Finding the Fourth Proportional to 417,566.36, 626,291.22 and 177,776.39

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Solution

The fourth proportional to 417,566.36, 626,291.22 and 177,776.39 is: 266,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,566.36 : 626,291.22 = 177,776.39 : x
  2. Step 2: Convert to fraction form
    417,566.36/626,291.22 = 177,776.39/x
  3. Step 3: Cross multiply
    417,566.36x = 626,291.22 × 177,776.39
  4. Step 4: Simplify right side
    417,566.36x = 111,339,792,180.30
  5. Step 5: Solve for x
    x = 111,339,792,180.30/417,566.36
  6. Step 6: Final answer
    x = 266,639.76

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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.