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Finding the Fourth Proportional to 322,568.40, 483,463.80 and 164,715.60

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Solution

The fourth proportional to 322,568.40, 483,463.80 and 164,715.60 is: 246,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,568.40 : 483,463.80 = 164,715.60 : x
  2. Step 2: Convert to fraction form
    322,568.40/483,463.80 = 164,715.60/x
  3. Step 3: Cross multiply
    322,568.40x = 483,463.80 × 164,715.60
  4. Step 4: Simplify right side
    322,568.40x = 79,634,029,895.28
  5. Step 5: Solve for x
    x = 79,634,029,895.28/322,568.40
  6. Step 6: Final answer
    x = 246,874.86

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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.