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Finding the Fourth Proportional to 611,896.20, 917,844.30 and 543,661.80

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Solution

The fourth proportional to 611,896.20, 917,844.30 and 543,661.80 is: 815,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,896.20 : 917,844.30 = 543,661.80 : x
  2. Step 2: Convert to fraction form
    611,896.20/917,844.30 = 543,661.80/x
  3. Step 3: Cross multiply
    611,896.20x = 917,844.30 × 543,661.80
  4. Step 4: Simplify right side
    611,896.20x = 498,996,884,257.74
  5. Step 5: Solve for x
    x = 498,996,884,257.74/611,896.20
  6. Step 6: Final answer
    x = 815,492.70

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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.