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Finding the Fourth Proportional to 523,993.17, 786,142.85 and 168,999.33

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Solution

The fourth proportional to 523,993.17, 786,142.85 and 168,999.33 is: 253,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,993.17 : 786,142.85 = 168,999.33 : x
  2. Step 2: Convert to fraction form
    523,993.17/786,142.85 = 168,999.33/x
  3. Step 3: Cross multiply
    523,993.17x = 786,142.85 × 168,999.33
  4. Step 4: Simplify right side
    523,993.17x = 132,857,614,934.29
  5. Step 5: Solve for x
    x = 132,857,614,934.29/523,993.17
  6. Step 6: Final answer
    x = 253,548.37

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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.