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Finding the Fourth Proportional to 604,217.26, 906,132.38 and 199,318.84

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Solution

The fourth proportional to 604,217.26, 906,132.38 and 199,318.84 is: 298,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,217.26 : 906,132.38 = 199,318.84 : x
  2. Step 2: Convert to fraction form
    604,217.26/906,132.38 = 199,318.84/x
  3. Step 3: Cross multiply
    604,217.26x = 906,132.38 × 199,318.84
  4. Step 4: Simplify right side
    604,217.26x = 180,609,254,868.04
  5. Step 5: Solve for x
    x = 180,609,254,868.04/604,217.26
  6. Step 6: Final answer
    x = 298,914.43

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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.