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Finding the Fourth Proportional to 546,906.96, 820,442.48 and 191,858.44

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Solution

The fourth proportional to 546,906.96, 820,442.48 and 191,858.44 is: 287,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,906.96 : 820,442.48 = 191,858.44 : x
  2. Step 2: Convert to fraction form
    546,906.96/820,442.48 = 191,858.44/x
  3. Step 3: Cross multiply
    546,906.96x = 820,442.48 × 191,858.44
  4. Step 4: Simplify right side
    546,906.96x = 157,408,814,322.53
  5. Step 5: Solve for x
    x = 157,408,814,322.53/546,906.96
  6. Step 6: Final answer
    x = 287,816.44

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1.5x scale

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.