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Finding the Fourth Proportional to 283,657.08, 391,441.38 and 154,596.54

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Solution

The fourth proportional to 283,657.08, 391,441.38 and 154,596.54 is: 213,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,657.08 : 391,441.38 = 154,596.54 : x
  2. Step 2: Convert to fraction form
    283,657.08/391,441.38 = 154,596.54/x
  3. Step 3: Cross multiply
    283,657.08x = 391,441.38 × 154,596.54
  4. Step 4: Simplify right side
    283,657.08x = 60,515,482,960.83
  5. Step 5: Solve for x
    x = 60,515,482,960.83/283,657.08
  6. Step 6: Final answer
    x = 213,340.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.