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Finding the Fourth Proportional to 569,236.10, 853,728.38 and 164,340.35

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Solution

The fourth proportional to 569,236.10, 853,728.38 and 164,340.35 is: 246,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,236.10 : 853,728.38 = 164,340.35 : x
  2. Step 2: Convert to fraction form
    569,236.10/853,728.38 = 164,340.35/x
  3. Step 3: Cross multiply
    569,236.10x = 853,728.38 × 164,340.35
  4. Step 4: Simplify right side
    569,236.10x = 140,302,019,952.43
  5. Step 5: Solve for x
    x = 140,302,019,952.43/569,236.10
  6. Step 6: Final answer
    x = 246,474.22

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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.