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Finding the Fourth Proportional to 417,726.26, 626,816.25 and 177,801.02

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Solution

The fourth proportional to 417,726.26, 626,816.25 and 177,801.02 is: 266,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,726.26 : 626,816.25 = 177,801.02 : x
  2. Step 2: Convert to fraction form
    417,726.26/626,816.25 = 177,801.02/x
  3. Step 3: Cross multiply
    417,726.26x = 626,816.25 × 177,801.02
  4. Step 4: Simplify right side
    417,726.26x = 111,448,568,602.58
  5. Step 5: Solve for x
    x = 111,448,568,602.58/417,726.26
  6. Step 6: Final answer
    x = 266,798.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.