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Finding the Fourth Proportional to 311,292.62, 465,883.41 and 191,424.86

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Solution

The fourth proportional to 311,292.62, 465,883.41 and 191,424.86 is: 286,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,292.62 : 465,883.41 = 191,424.86 : x
  2. Step 2: Convert to fraction form
    311,292.62/465,883.41 = 191,424.86/x
  3. Step 3: Cross multiply
    311,292.62x = 465,883.41 × 191,424.86
  4. Step 4: Simplify right side
    311,292.62x = 89,181,664,206.16
  5. Step 5: Solve for x
    x = 89,181,664,206.16/311,292.62
  6. Step 6: Final answer
    x = 286,488.21

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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.