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Finding the Fourth Proportional to 219,074.50, 328,611.78 and 52,862.50

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Solution

The fourth proportional to 219,074.50, 328,611.78 and 52,862.50 is: 79,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,074.50 : 328,611.78 = 52,862.50 : x
  2. Step 2: Convert to fraction form
    219,074.50/328,611.78 = 52,862.50/x
  3. Step 3: Cross multiply
    219,074.50x = 328,611.78 × 52,862.50
  4. Step 4: Simplify right side
    219,074.50x = 17,371,240,220.25
  5. Step 5: Solve for x
    x = 17,371,240,220.25/219,074.50
  6. Step 6: Final answer
    x = 79,293.76

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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.