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Finding the Fourth Proportional to 311,403.94, 467,304.59 and 111,719.90

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Solution

The fourth proportional to 311,403.94, 467,304.59 and 111,719.90 is: 167,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,403.94 : 467,304.59 = 111,719.90 : x
  2. Step 2: Convert to fraction form
    311,403.94/467,304.59 = 111,719.90/x
  3. Step 3: Cross multiply
    311,403.94x = 467,304.59 × 111,719.90
  4. Step 4: Simplify right side
    311,403.94x = 52,207,223,511.90
  5. Step 5: Solve for x
    x = 52,207,223,511.90/311,403.94
  6. Step 6: Final answer
    x = 167,651.13

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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.