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Finding the Fourth Proportional to 393,843.06, 543,515.94 and 224,088.12

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Solution

The fourth proportional to 393,843.06, 543,515.94 and 224,088.12 is: 309,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,843.06 : 543,515.94 = 224,088.12 : x
  2. Step 2: Convert to fraction form
    393,843.06/543,515.94 = 224,088.12/x
  3. Step 3: Cross multiply
    393,843.06x = 543,515.94 × 224,088.12
  4. Step 4: Simplify right side
    393,843.06x = 121,795,465,184.63
  5. Step 5: Solve for x
    x = 121,795,465,184.63/393,843.06
  6. Step 6: Final answer
    x = 309,248.73

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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.