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Finding the Fourth Proportional to 311,907.30, 467,856.63 and 75,247.98

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Solution

The fourth proportional to 311,907.30, 467,856.63 and 75,247.98 is: 112,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.30 : 467,856.63 = 75,247.98 : x
  2. Step 2: Convert to fraction form
    311,907.30/467,856.63 = 75,247.98/x
  3. Step 3: Cross multiply
    311,907.30x = 467,856.63 × 75,247.98
  4. Step 4: Simplify right side
    311,907.30x = 35,205,266,337.11
  5. Step 5: Solve for x
    x = 35,205,266,337.11/311,907.30
  6. Step 6: Final answer
    x = 112,870.93

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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.