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Finding the Fourth Proportional to 401,659.56, 602,480.84 and 164,834.80

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Solution

The fourth proportional to 401,659.56, 602,480.84 and 164,834.80 is: 247,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,659.56 : 602,480.84 = 164,834.80 : x
  2. Step 2: Convert to fraction form
    401,659.56/602,480.84 = 164,834.80/x
  3. Step 3: Cross multiply
    401,659.56x = 602,480.84 × 164,834.80
  4. Step 4: Simplify right side
    401,659.56x = 99,309,806,434.86
  5. Step 5: Solve for x
    x = 99,309,806,434.86/401,659.56
  6. Step 6: Final answer
    x = 247,248.71

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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.