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Finding the Fourth Proportional to 300,475.91, 414,937.73 and 193,232.11

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Solution

The fourth proportional to 300,475.91, 414,937.73 and 193,232.11 is: 266,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,475.91 : 414,937.73 = 193,232.11 : x
  2. Step 2: Convert to fraction form
    300,475.91/414,937.73 = 193,232.11/x
  3. Step 3: Cross multiply
    300,475.91x = 414,937.73 × 193,232.11
  4. Step 4: Simplify right side
    300,475.91x = 80,179,292,532.25
  5. Step 5: Solve for x
    x = 80,179,292,532.25/300,475.91
  6. Step 6: Final answer
    x = 266,841.01

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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.