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Finding the Fourth Proportional to 338,843.71, 508,267.32 and 114,206.09

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Solution

The fourth proportional to 338,843.71, 508,267.32 and 114,206.09 is: 171,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,843.71 : 508,267.32 = 114,206.09 : x
  2. Step 2: Convert to fraction form
    338,843.71/508,267.32 = 114,206.09/x
  3. Step 3: Cross multiply
    338,843.71x = 508,267.32 × 114,206.09
  4. Step 4: Simplify right side
    338,843.71x = 58,047,223,291.98
  5. Step 5: Solve for x
    x = 58,047,223,291.98/338,843.71
  6. Step 6: Final answer
    x = 171,309.73

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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.