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Finding the Fourth Proportional to 311,543.82, 467,317.80 and 111,866.04

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Solution

The fourth proportional to 311,543.82, 467,317.80 and 111,866.04 is: 167,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,543.82 : 467,317.80 = 111,866.04 : x
  2. Step 2: Convert to fraction form
    311,543.82/467,317.80 = 111,866.04/x
  3. Step 3: Cross multiply
    311,543.82x = 467,317.80 × 111,866.04
  4. Step 4: Simplify right side
    311,543.82x = 52,276,991,707.51
  5. Step 5: Solve for x
    x = 52,276,991,707.51/311,543.82
  6. Step 6: Final answer
    x = 167,799.80

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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.