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Finding the Fourth Proportional to 283,656.60, 391,441.05 and 154,596.24

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Solution

The fourth proportional to 283,656.60, 391,441.05 and 154,596.24 is: 213,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,656.60 : 391,441.05 = 154,596.24 : x
  2. Step 2: Convert to fraction form
    283,656.60/391,441.05 = 154,596.24/x
  3. Step 3: Cross multiply
    283,656.60x = 391,441.05 × 154,596.24
  4. Step 4: Simplify right side
    283,656.60x = 60,515,314,511.65
  5. Step 5: Solve for x
    x = 60,515,314,511.65/283,656.60
  6. Step 6: Final answer
    x = 213,340.05

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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.