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Finding the Fourth Proportional to 322,616.64, 484,023.42 and 164,955.81

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Solution

The fourth proportional to 322,616.64, 484,023.42 and 164,955.81 is: 247,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,616.64 : 484,023.42 = 164,955.81 : x
  2. Step 2: Convert to fraction form
    322,616.64/484,023.42 = 164,955.81/x
  3. Step 3: Cross multiply
    322,616.64x = 484,023.42 × 164,955.81
  4. Step 4: Simplify right side
    322,616.64x = 79,842,475,305.07
  5. Step 5: Solve for x
    x = 79,842,475,305.07/322,616.64
  6. Step 6: Final answer
    x = 247,484.06

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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.