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Finding the Fourth Proportional to 667,858, 1,001,845.32 and 169,222

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Solution

The fourth proportional to 667,858, 1,001,845.32 and 169,222 is: 253,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,858 : 1,001,845.32 = 169,222 : x
  2. Step 2: Convert to fraction form
    667,858/1,001,845.32 = 169,222/x
  3. Step 3: Cross multiply
    667,858x = 1,001,845.32 × 169,222
  4. Step 4: Simplify right side
    667,858x = 169,534,268,741.04
  5. Step 5: Solve for x
    x = 169,534,268,741.04/667,858
  6. Step 6: Final answer
    x = 253,847.78

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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.