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Finding the Fourth Proportional to 417,570.41, 626,304.57 and 177,781.04

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Solution

The fourth proportional to 417,570.41, 626,304.57 and 177,781.04 is: 266,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,570.41 : 626,304.57 = 177,781.04 : x
  2. Step 2: Convert to fraction form
    417,570.41/626,304.57 = 177,781.04/x
  3. Step 3: Cross multiply
    417,570.41x = 626,304.57 × 177,781.04
  4. Step 4: Simplify right side
    417,570.41x = 111,345,077,811.35
  5. Step 5: Solve for x
    x = 111,345,077,811.35/417,570.41
  6. Step 6: Final answer
    x = 266,649.83

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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.