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Finding the Fourth Proportional to 503,834.08, 755,733.12 and 219,524.08

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Solution

The fourth proportional to 503,834.08, 755,733.12 and 219,524.08 is: 329,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,834.08 : 755,733.12 = 219,524.08 : x
  2. Step 2: Convert to fraction form
    503,834.08/755,733.12 = 219,524.08/x
  3. Step 3: Cross multiply
    503,834.08x = 755,733.12 × 219,524.08
  4. Step 4: Simplify right side
    503,834.08x = 165,901,617,893.53
  5. Step 5: Solve for x
    x = 165,901,617,893.53/503,834.08
  6. Step 6: Final answer
    x = 329,278.28

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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.