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Finding the Fourth Proportional to 338,937.93, 508,394.12 and 102,274.29

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Solution

The fourth proportional to 338,937.93, 508,394.12 and 102,274.29 is: 153,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,937.93 : 508,394.12 = 102,274.29 : x
  2. Step 2: Convert to fraction form
    338,937.93/508,394.12 = 102,274.29/x
  3. Step 3: Cross multiply
    338,937.93x = 508,394.12 × 102,274.29
  4. Step 4: Simplify right side
    338,937.93x = 51,995,647,151.80
  5. Step 5: Solve for x
    x = 51,995,647,151.80/338,937.93
  6. Step 6: Final answer
    x = 153,407.58

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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.