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Finding the Fourth Proportional to 413,703.63, 620,591.13 and 114,184.21

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Solution

The fourth proportional to 413,703.63, 620,591.13 and 114,184.21 is: 171,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,703.63 : 620,591.13 = 114,184.21 : x
  2. Step 2: Convert to fraction form
    413,703.63/620,591.13 = 114,184.21/x
  3. Step 3: Cross multiply
    413,703.63x = 620,591.13 × 114,184.21
  4. Step 4: Simplify right side
    413,703.63x = 70,861,707,912.06
  5. Step 5: Solve for x
    x = 70,861,707,912.06/413,703.63
  6. Step 6: Final answer
    x = 171,286.16

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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.