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Finding the Fourth Proportional to 513,363.80, 770,098.49 and 193,784.86

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Solution

The fourth proportional to 513,363.80, 770,098.49 and 193,784.86 is: 290,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,363.80 : 770,098.49 = 193,784.86 : x
  2. Step 2: Convert to fraction form
    513,363.80/770,098.49 = 193,784.86/x
  3. Step 3: Cross multiply
    513,363.80x = 770,098.49 × 193,784.86
  4. Step 4: Simplify right side
    513,363.80x = 149,233,428,070.86
  5. Step 5: Solve for x
    x = 149,233,428,070.86/513,363.80
  6. Step 6: Final answer
    x = 290,697.22

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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.