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Finding the Fourth Proportional to 262,585.41, 393,878.12 and 209,747.49

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Solution

The fourth proportional to 262,585.41, 393,878.12 and 209,747.49 is: 314,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,585.41 : 393,878.12 = 209,747.49 : x
  2. Step 2: Convert to fraction form
    262,585.41/393,878.12 = 209,747.49/x
  3. Step 3: Cross multiply
    262,585.41x = 393,878.12 × 209,747.49
  4. Step 4: Simplify right side
    262,585.41x = 82,614,945,987.18
  5. Step 5: Solve for x
    x = 82,614,945,987.18/262,585.41
  6. Step 6: Final answer
    x = 314,621.24

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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.