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Finding the Fourth Proportional to 283,774.82, 391,611.97 and 156,454.98

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Solution

The fourth proportional to 283,774.82, 391,611.97 and 156,454.98 is: 215,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,774.82 : 391,611.97 = 156,454.98 : x
  2. Step 2: Convert to fraction form
    283,774.82/391,611.97 = 156,454.98/x
  3. Step 3: Cross multiply
    283,774.82x = 391,611.97 × 156,454.98
  4. Step 4: Simplify right side
    283,774.82x = 61,269,642,934.11
  5. Step 5: Solve for x
    x = 61,269,642,934.11/283,774.82
  6. Step 6: Final answer
    x = 215,909.37

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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.