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Finding the Fourth Proportional to 286,004.34, 394,870.87 and 177,224.11

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Solution

The fourth proportional to 286,004.34, 394,870.87 and 177,224.11 is: 244,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,004.34 : 394,870.87 = 177,224.11 : x
  2. Step 2: Convert to fraction form
    286,004.34/394,870.87 = 177,224.11/x
  3. Step 3: Cross multiply
    286,004.34x = 394,870.87 × 177,224.11
  4. Step 4: Simplify right side
    286,004.34x = 69,980,638,500.68
  5. Step 5: Solve for x
    x = 69,980,638,500.68/286,004.34
  6. Step 6: Final answer
    x = 244,683.83

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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.