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Finding the Fourth Proportional to 475,205.80, 711,815.10 and 222,701.80

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Solution

The fourth proportional to 475,205.80, 711,815.10 and 222,701.80 is: 333,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,205.80 : 711,815.10 = 222,701.80 : x
  2. Step 2: Convert to fraction form
    475,205.80/711,815.10 = 222,701.80/x
  3. Step 3: Cross multiply
    475,205.80x = 711,815.10 × 222,701.80
  4. Step 4: Simplify right side
    475,205.80x = 158,522,504,037.18
  5. Step 5: Solve for x
    x = 158,522,504,037.18/475,205.80
  6. Step 6: Final answer
    x = 333,587.06

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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.