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Finding the Fourth Proportional to 311,813.80, 468,066.30 and 193,618.60

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Solution

The fourth proportional to 311,813.80, 468,066.30 and 193,618.60 is: 290,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,813.80 : 468,066.30 = 193,618.60 : x
  2. Step 2: Convert to fraction form
    311,813.80/468,066.30 = 193,618.60/x
  3. Step 3: Cross multiply
    311,813.80x = 468,066.30 × 193,618.60
  4. Step 4: Simplify right side
    311,813.80x = 90,626,341,713.18
  5. Step 5: Solve for x
    x = 90,626,341,713.18/311,813.80
  6. Step 6: Final answer
    x = 290,642.50

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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.