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Finding the Fourth Proportional to 463,842.28, 695,585.22 and 164,267.56

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Solution

The fourth proportional to 463,842.28, 695,585.22 and 164,267.56 is: 246,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,842.28 : 695,585.22 = 164,267.56 : x
  2. Step 2: Convert to fraction form
    463,842.28/695,585.22 = 164,267.56/x
  3. Step 3: Cross multiply
    463,842.28x = 695,585.22 × 164,267.56
  4. Step 4: Simplify right side
    463,842.28x = 114,262,086,861.46
  5. Step 5: Solve for x
    x = 114,262,086,861.46/463,842.28
  6. Step 6: Final answer
    x = 246,338.23

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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.