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Finding the Fourth Proportional to 360,963.16, 541,977 and 201,350.96

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Solution

The fourth proportional to 360,963.16, 541,977 and 201,350.96 is: 302,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,963.16 : 541,977 = 201,350.96 : x
  2. Step 2: Convert to fraction form
    360,963.16/541,977 = 201,350.96/x
  3. Step 3: Cross multiply
    360,963.16x = 541,977 × 201,350.96
  4. Step 4: Simplify right side
    360,963.16x = 109,127,589,247.92
  5. Step 5: Solve for x
    x = 109,127,589,247.92/360,963.16
  6. Step 6: Final answer
    x = 302,323.34

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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.