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Finding the Fourth Proportional to 482,164.59, 665,381.79 and 278,213.07

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Solution

The fourth proportional to 482,164.59, 665,381.79 and 278,213.07 is: 383,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,164.59 : 665,381.79 = 278,213.07 : x
  2. Step 2: Convert to fraction form
    482,164.59/665,381.79 = 278,213.07/x
  3. Step 3: Cross multiply
    482,164.59x = 665,381.79 × 278,213.07
  4. Step 4: Simplify right side
    482,164.59x = 185,117,910,518.00
  5. Step 5: Solve for x
    x = 185,117,910,518.00/482,164.59
  6. Step 6: Final answer
    x = 383,930.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.