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Finding the Fourth Proportional to 419,197.54, 578,572.32 and 237,926.44

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Solution

The fourth proportional to 419,197.54, 578,572.32 and 237,926.44 is: 328,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,197.54 : 578,572.32 = 237,926.44 : x
  2. Step 2: Convert to fraction form
    419,197.54/578,572.32 = 237,926.44/x
  3. Step 3: Cross multiply
    419,197.54x = 578,572.32 × 237,926.44
  4. Step 4: Simplify right side
    419,197.54x = 137,657,652,380.14
  5. Step 5: Solve for x
    x = 137,657,652,380.14/419,197.54
  6. Step 6: Final answer
    x = 328,383.73

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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.