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Finding the Fourth Proportional to 523,994.18, 786,144.34 and 169,000.34

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Solution

The fourth proportional to 523,994.18, 786,144.34 and 169,000.34 is: 253,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,994.18 : 786,144.34 = 169,000.34 : x
  2. Step 2: Convert to fraction form
    523,994.18/786,144.34 = 169,000.34/x
  3. Step 3: Cross multiply
    523,994.18x = 786,144.34 × 169,000.34
  4. Step 4: Simplify right side
    523,994.18x = 132,858,660,749.08
  5. Step 5: Solve for x
    x = 132,858,660,749.08/523,994.18
  6. Step 6: Final answer
    x = 253,549.88

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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.