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Finding the Fourth Proportional to 322,143.84, 444,546.32 and 178,913.12

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Solution

The fourth proportional to 322,143.84, 444,546.32 and 178,913.12 is: 246,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,143.84 : 444,546.32 = 178,913.12 : x
  2. Step 2: Convert to fraction form
    322,143.84/444,546.32 = 178,913.12/x
  3. Step 3: Cross multiply
    322,143.84x = 444,546.32 × 178,913.12
  4. Step 4: Simplify right side
    322,143.84x = 79,535,169,095.72
  5. Step 5: Solve for x
    x = 79,535,169,095.72/322,143.84
  6. Step 6: Final answer
    x = 246,893.34

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1.5x scale

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.