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Finding the Fourth Proportional to 311,941.08, 467,974.80 and 101,522.52

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Solution

The fourth proportional to 311,941.08, 467,974.80 and 101,522.52 is: 152,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.08 : 467,974.80 = 101,522.52 : x
  2. Step 2: Convert to fraction form
    311,941.08/467,974.80 = 101,522.52/x
  3. Step 3: Cross multiply
    311,941.08x = 467,974.80 × 101,522.52
  4. Step 4: Simplify right side
    311,941.08x = 47,509,980,992.50
  5. Step 5: Solve for x
    x = 47,509,980,992.50/311,941.08
  6. Step 6: Final answer
    x = 152,304.34

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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.