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Finding the Fourth Proportional to 401,244.92, 601,900.19 and 164,589.65

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Solution

The fourth proportional to 401,244.92, 601,900.19 and 164,589.65 is: 246,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,244.92 : 601,900.19 = 164,589.65 : x
  2. Step 2: Convert to fraction form
    401,244.92/601,900.19 = 164,589.65/x
  3. Step 3: Cross multiply
    401,244.92x = 601,900.19 × 164,589.65
  4. Step 4: Simplify right side
    401,244.92x = 99,066,543,523.26
  5. Step 5: Solve for x
    x = 99,066,543,523.26/401,244.92
  6. Step 6: Final answer
    x = 246,897.94

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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.