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Finding the Fourth Proportional to 475,497.52, 713,076.24 and 222,734.80

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Solution

The fourth proportional to 475,497.52, 713,076.24 and 222,734.80 is: 334,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,497.52 : 713,076.24 = 222,734.80 : x
  2. Step 2: Convert to fraction form
    475,497.52/713,076.24 = 222,734.80/x
  3. Step 3: Cross multiply
    475,497.52x = 713,076.24 × 222,734.80
  4. Step 4: Simplify right side
    475,497.52x = 158,826,893,701.15
  5. Step 5: Solve for x
    x = 158,826,893,701.15/475,497.52
  6. Step 6: Final answer
    x = 334,022.55

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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.