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Finding the Fourth Proportional to 544,309.40, 816,475.34 and 198,081.05

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Solution

The fourth proportional to 544,309.40, 816,475.34 and 198,081.05 is: 297,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,309.40 : 816,475.34 = 198,081.05 : x
  2. Step 2: Convert to fraction form
    544,309.40/816,475.34 = 198,081.05/x
  3. Step 3: Cross multiply
    544,309.40x = 816,475.34 × 198,081.05
  4. Step 4: Simplify right side
    544,309.40x = 161,728,289,059.13
  5. Step 5: Solve for x
    x = 161,728,289,059.13/544,309.40
  6. Step 6: Final answer
    x = 297,125.66

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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.