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Finding the Fourth Proportional to 463,406.06, 639,510.09 and 262,202.06

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Solution

The fourth proportional to 463,406.06, 639,510.09 and 262,202.06 is: 361,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,406.06 : 639,510.09 = 262,202.06 : x
  2. Step 2: Convert to fraction form
    463,406.06/639,510.09 = 262,202.06/x
  3. Step 3: Cross multiply
    463,406.06x = 639,510.09 × 262,202.06
  4. Step 4: Simplify right side
    463,406.06x = 167,680,863,604.30
  5. Step 5: Solve for x
    x = 167,680,863,604.30/463,406.06
  6. Step 6: Final answer
    x = 361,844.35

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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.