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Finding the Fourth Proportional to 419,115.34, 578,363.10 and 237,816.44

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Solution

The fourth proportional to 419,115.34, 578,363.10 and 237,816.44 is: 328,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,115.34 : 578,363.10 = 237,816.44 : x
  2. Step 2: Convert to fraction form
    419,115.34/578,363.10 = 237,816.44/x
  3. Step 3: Cross multiply
    419,115.34x = 578,363.10 × 237,816.44
  4. Step 4: Simplify right side
    419,115.34x = 137,544,253,469.36
  5. Step 5: Solve for x
    x = 137,544,253,469.36/419,115.34
  6. Step 6: Final answer
    x = 328,177.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.