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Finding the Fourth Proportional to 273,913.36, 410,963.46 and 147,566.57

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Solution

The fourth proportional to 273,913.36, 410,963.46 and 147,566.57 is: 221,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,913.36 : 410,963.46 = 147,566.57 : x
  2. Step 2: Convert to fraction form
    273,913.36/410,963.46 = 147,566.57/x
  3. Step 3: Cross multiply
    273,913.36x = 410,963.46 × 147,566.57
  4. Step 4: Simplify right side
    273,913.36x = 60,644,465,394.88
  5. Step 5: Solve for x
    x = 60,644,465,394.88/273,913.36
  6. Step 6: Final answer
    x = 221,400.17

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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.