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Finding the Fourth Proportional to 311,191.86, 466,574.49 and 111,507.84

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Solution

The fourth proportional to 311,191.86, 466,574.49 and 111,507.84 is: 167,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,191.86 : 466,574.49 = 111,507.84 : x
  2. Step 2: Convert to fraction form
    311,191.86/466,574.49 = 111,507.84/x
  3. Step 3: Cross multiply
    311,191.86x = 466,574.49 × 111,507.84
  4. Step 4: Simplify right side
    311,191.86x = 52,026,713,579.00
  5. Step 5: Solve for x
    x = 52,026,713,579.00/311,191.86
  6. Step 6: Final answer
    x = 167,185.33

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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.