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Finding the Fourth Proportional to 457,543.39, 686,230.79 and 191,232.43

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Solution

The fourth proportional to 457,543.39, 686,230.79 and 191,232.43 is: 286,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,543.39 : 686,230.79 = 191,232.43 : x
  2. Step 2: Convert to fraction form
    457,543.39/686,230.79 = 191,232.43/x
  3. Step 3: Cross multiply
    457,543.39x = 686,230.79 × 191,232.43
  4. Step 4: Simplify right side
    457,543.39x = 131,229,580,556.36
  5. Step 5: Solve for x
    x = 131,229,580,556.36/457,543.39
  6. Step 6: Final answer
    x = 286,813.41

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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.