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Finding the Fourth Proportional to 523,020.24, 783,855.97 and 253,084.97

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Solution

The fourth proportional to 523,020.24, 783,855.97 and 253,084.97 is: 379,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,020.24 : 783,855.97 = 253,084.97 : x
  2. Step 2: Convert to fraction form
    523,020.24/783,855.97 = 253,084.97/x
  3. Step 3: Cross multiply
    523,020.24x = 783,855.97 × 253,084.97
  4. Step 4: Simplify right side
    523,020.24x = 198,382,165,978.70
  5. Step 5: Solve for x
    x = 198,382,165,978.70/523,020.24
  6. Step 6: Final answer
    x = 379,301.13

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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.