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Finding the Fourth Proportional to 338,850, 508,275 and 117,234

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Solution

The fourth proportional to 338,850, 508,275 and 117,234 is: 175,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,850 : 508,275 = 117,234 : x
  2. Step 2: Convert to fraction form
    338,850/508,275 = 117,234/x
  3. Step 3: Cross multiply
    338,850x = 508,275 × 117,234
  4. Step 4: Simplify right side
    338,850x = 59,587,111,350
  5. Step 5: Solve for x
    x = 59,587,111,350/338,850
  6. Step 6: Final answer
    x = 175,851

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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.