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Finding the Fourth Proportional to 378,047.75, 567,176.72 and 164,834.30

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Solution

The fourth proportional to 378,047.75, 567,176.72 and 164,834.30 is: 247,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047.75 : 567,176.72 = 164,834.30 : x
  2. Step 2: Convert to fraction form
    378,047.75/567,176.72 = 164,834.30/x
  3. Step 3: Cross multiply
    378,047.75x = 567,176.72 × 164,834.30
  4. Step 4: Simplify right side
    378,047.75x = 93,490,177,617.50
  5. Step 5: Solve for x
    x = 93,490,177,617.50/378,047.75
  6. Step 6: Final answer
    x = 247,297.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.