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Finding the Fourth Proportional to 338,839.29, 508,305.84 and 114,263.94

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Solution

The fourth proportional to 338,839.29, 508,305.84 and 114,263.94 is: 171,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,839.29 : 508,305.84 = 114,263.94 : x
  2. Step 2: Convert to fraction form
    338,839.29/508,305.84 = 114,263.94/x
  3. Step 3: Cross multiply
    338,839.29x = 508,305.84 × 114,263.94
  4. Step 4: Simplify right side
    338,839.29x = 58,081,028,003.41
  5. Step 5: Solve for x
    x = 58,081,028,003.41/338,839.29
  6. Step 6: Final answer
    x = 171,411.73

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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.