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Finding the Fourth Proportional to 613,713.75, 920,603.43 and 193,022.43

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Solution

The fourth proportional to 613,713.75, 920,603.43 and 193,022.43 is: 289,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,713.75 : 920,603.43 = 193,022.43 : x
  2. Step 2: Convert to fraction form
    613,713.75/920,603.43 = 193,022.43/x
  3. Step 3: Cross multiply
    613,713.75x = 920,603.43 × 193,022.43
  4. Step 4: Simplify right side
    613,713.75x = 177,697,111,124.94
  5. Step 5: Solve for x
    x = 177,697,111,124.94/613,713.75
  6. Step 6: Final answer
    x = 289,543.96

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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.