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Finding the Fourth Proportional to 523,016.49, 783,850.35 and 253,081.23

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Solution

The fourth proportional to 523,016.49, 783,850.35 and 253,081.23 is: 379,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,016.49 : 783,850.35 = 253,081.23 : x
  2. Step 2: Convert to fraction form
    523,016.49/783,850.35 = 253,081.23/x
  3. Step 3: Cross multiply
    523,016.49x = 783,850.35 × 253,081.23
  4. Step 4: Simplify right side
    523,016.49x = 198,377,810,713.93
  5. Step 5: Solve for x
    x = 198,377,810,713.93/523,016.49
  6. Step 6: Final answer
    x = 379,295.52

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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.