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Finding the Fourth Proportional to 309,628.80, 464,443.20 and 191,530.80

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Solution

The fourth proportional to 309,628.80, 464,443.20 and 191,530.80 is: 287,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,628.80 : 464,443.20 = 191,530.80 : x
  2. Step 2: Convert to fraction form
    309,628.80/464,443.20 = 191,530.80/x
  3. Step 3: Cross multiply
    309,628.80x = 464,443.20 × 191,530.80
  4. Step 4: Simplify right side
    309,628.80x = 88,955,177,650.56
  5. Step 5: Solve for x
    x = 88,955,177,650.56/309,628.80
  6. Step 6: Final answer
    x = 287,296.20

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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.