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Finding the Fourth Proportional to 547,959.96, 822,022.02 and 192,911.40

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Solution

The fourth proportional to 547,959.96, 822,022.02 and 192,911.40 is: 289,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,959.96 : 822,022.02 = 192,911.40 : x
  2. Step 2: Convert to fraction form
    547,959.96/822,022.02 = 192,911.40/x
  3. Step 3: Cross multiply
    547,959.96x = 822,022.02 × 192,911.40
  4. Step 4: Simplify right side
    547,959.96x = 158,577,418,709.03
  5. Step 5: Solve for x
    x = 158,577,418,709.03/547,959.96
  6. Step 6: Final answer
    x = 289,396.00

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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.