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Finding the Fourth Proportional to 417,195.81, 625,817.93 and 161,029.80

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Solution

The fourth proportional to 417,195.81, 625,817.93 and 161,029.80 is: 241,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,195.81 : 625,817.93 = 161,029.80 : x
  2. Step 2: Convert to fraction form
    417,195.81/625,817.93 = 161,029.80/x
  3. Step 3: Cross multiply
    417,195.81x = 625,817.93 × 161,029.80
  4. Step 4: Simplify right side
    417,195.81x = 100,775,335,299.17
  5. Step 5: Solve for x
    x = 100,775,335,299.17/417,195.81
  6. Step 6: Final answer
    x = 241,554.04

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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.