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Finding the Fourth Proportional to 376,891.88, 565,531.50 and 208,380.92

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Solution

The fourth proportional to 376,891.88, 565,531.50 and 208,380.92 is: 312,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,891.88 : 565,531.50 = 208,380.92 : x
  2. Step 2: Convert to fraction form
    376,891.88/565,531.50 = 208,380.92/x
  3. Step 3: Cross multiply
    376,891.88x = 565,531.50 × 208,380.92
  4. Step 4: Simplify right side
    376,891.88x = 117,845,974,258.98
  5. Step 5: Solve for x
    x = 117,845,974,258.98/376,891.88
  6. Step 6: Final answer
    x = 312,678.46

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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.