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Finding the Fourth Proportional to 293,774.72, 405,408.12 and 166,474.64

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Solution

The fourth proportional to 293,774.72, 405,408.12 and 166,474.64 is: 229,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,774.72 : 405,408.12 = 166,474.64 : x
  2. Step 2: Convert to fraction form
    293,774.72/405,408.12 = 166,474.64/x
  3. Step 3: Cross multiply
    293,774.72x = 405,408.12 × 166,474.64
  4. Step 4: Simplify right side
    293,774.72x = 67,490,170,830.08
  5. Step 5: Solve for x
    x = 67,490,170,830.08/293,774.72
  6. Step 6: Final answer
    x = 229,734.44

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1.5x scale

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.