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Finding the Fourth Proportional to 338,939.54, 508,422.54 and 102,282.26

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Solution

The fourth proportional to 338,939.54, 508,422.54 and 102,282.26 is: 153,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,939.54 : 508,422.54 = 102,282.26 : x
  2. Step 2: Convert to fraction form
    338,939.54/508,422.54 = 102,282.26/x
  3. Step 3: Cross multiply
    338,939.54x = 508,422.54 × 102,282.26
  4. Step 4: Simplify right side
    338,939.54x = 52,002,606,426.14
  5. Step 5: Solve for x
    x = 52,002,606,426.14/338,939.54
  6. Step 6: Final answer
    x = 153,427.38

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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.