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Finding the Fourth Proportional to 322,610.64, 484,014.40 and 164,949.84

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Solution

The fourth proportional to 322,610.64, 484,014.40 and 164,949.84 is: 247,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,610.64 : 484,014.40 = 164,949.84 : x
  2. Step 2: Convert to fraction form
    322,610.64/484,014.40 = 164,949.84/x
  3. Step 3: Cross multiply
    322,610.64x = 484,014.40 × 164,949.84
  4. Step 4: Simplify right side
    322,610.64x = 79,838,097,837.70
  5. Step 5: Solve for x
    x = 79,838,097,837.70/322,610.64
  6. Step 6: Final answer
    x = 247,475.09

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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.