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Finding the Fourth Proportional to 411,685.50, 568,125.99 and 223,269.50

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Solution

The fourth proportional to 411,685.50, 568,125.99 and 223,269.50 is: 308,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,685.50 : 568,125.99 = 223,269.50 : x
  2. Step 2: Convert to fraction form
    411,685.50/568,125.99 = 223,269.50/x
  3. Step 3: Cross multiply
    411,685.50x = 568,125.99 × 223,269.50
  4. Step 4: Simplify right side
    411,685.50x = 126,845,205,724.31
  5. Step 5: Solve for x
    x = 126,845,205,724.31/411,685.50
  6. Step 6: Final answer
    x = 308,111.91

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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.