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Finding the Fourth Proportional to 285,093.54, 427,971.60 and 166,849.74

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Solution

The fourth proportional to 285,093.54, 427,971.60 and 166,849.74 is: 250,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,093.54 : 427,971.60 = 166,849.74 : x
  2. Step 2: Convert to fraction form
    285,093.54/427,971.60 = 166,849.74/x
  3. Step 3: Cross multiply
    285,093.54x = 427,971.60 × 166,849.74
  4. Step 4: Simplify right side
    285,093.54x = 71,406,950,187.38
  5. Step 5: Solve for x
    x = 71,406,950,187.38/285,093.54
  6. Step 6: Final answer
    x = 250,468.50

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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.