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Finding the Fourth Proportional to 342,510.57, 472,759.67 and 199,298.37

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Solution

The fourth proportional to 342,510.57, 472,759.67 and 199,298.37 is: 275,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,510.57 : 472,759.67 = 199,298.37 : x
  2. Step 2: Convert to fraction form
    342,510.57/472,759.67 = 199,298.37/x
  3. Step 3: Cross multiply
    342,510.57x = 472,759.67 × 199,298.37
  4. Step 4: Simplify right side
    342,510.57x = 94,220,230,636.25
  5. Step 5: Solve for x
    x = 94,220,230,636.25/342,510.57
  6. Step 6: Final answer
    x = 275,087.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.