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Finding the Fourth Proportional to 219,074.52, 328,611.80 and 52,862.52

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Solution

The fourth proportional to 219,074.52, 328,611.80 and 52,862.52 is: 79,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,074.52 : 328,611.80 = 52,862.52 : x
  2. Step 2: Convert to fraction form
    219,074.52/328,611.80 = 52,862.52/x
  3. Step 3: Cross multiply
    219,074.52x = 328,611.80 × 52,862.52
  4. Step 4: Simplify right side
    219,074.52x = 17,371,247,849.74
  5. Step 5: Solve for x
    x = 17,371,247,849.74/219,074.52
  6. Step 6: Final answer
    x = 79,293.78

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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.