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Finding the Fourth Proportional to 407,171.80, 610,995.84 and 170,494.66

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Solution

The fourth proportional to 407,171.80, 610,995.84 and 170,494.66 is: 255,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171.80 : 610,995.84 = 170,494.66 : x
  2. Step 2: Convert to fraction form
    407,171.80/610,995.84 = 170,494.66/x
  3. Step 3: Cross multiply
    407,171.80x = 610,995.84 × 170,494.66
  4. Step 4: Simplify right side
    407,171.80x = 104,171,528,002.21
  5. Step 5: Solve for x
    x = 104,171,528,002.21/407,171.80
  6. Step 6: Final answer
    x = 255,841.71

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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.