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Finding the Fourth Proportional to 302,724.38, 417,792.46 and 166,772.26

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Solution

The fourth proportional to 302,724.38, 417,792.46 and 166,772.26 is: 230,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,724.38 : 417,792.46 = 166,772.26 : x
  2. Step 2: Convert to fraction form
    302,724.38/417,792.46 = 166,772.26/x
  3. Step 3: Cross multiply
    302,724.38x = 417,792.46 × 166,772.26
  4. Step 4: Simplify right side
    302,724.38x = 69,676,191,303.75
  5. Step 5: Solve for x
    x = 69,676,191,303.75/302,724.38
  6. Step 6: Final answer
    x = 230,163.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.