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Finding the Fourth Proportional to 311,355.68, 467,033.98 and 86,716.76

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Solution

The fourth proportional to 311,355.68, 467,033.98 and 86,716.76 is: 130,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,355.68 : 467,033.98 = 86,716.76 : x
  2. Step 2: Convert to fraction form
    311,355.68/467,033.98 = 86,716.76/x
  3. Step 3: Cross multiply
    311,355.68x = 467,033.98 × 86,716.76
  4. Step 4: Simplify right side
    311,355.68x = 40,499,673,555.50
  5. Step 5: Solve for x
    x = 40,499,673,555.50/311,355.68
  6. Step 6: Final answer
    x = 130,075.27

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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.