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Finding the Fourth Proportional to 574,209, 861,320.79 and 200,232

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Solution

The fourth proportional to 574,209, 861,320.79 and 200,232 is: 300,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,209 : 861,320.79 = 200,232 : x
  2. Step 2: Convert to fraction form
    574,209/861,320.79 = 200,232/x
  3. Step 3: Cross multiply
    574,209x = 861,320.79 × 200,232
  4. Step 4: Simplify right side
    574,209x = 172,463,984,423.28
  5. Step 5: Solve for x
    x = 172,463,984,423.28/574,209
  6. Step 6: Final answer
    x = 300,350.54

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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.