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Finding the Fourth Proportional to 230,400.32, 345,658.73 and 64,188.32

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Solution

The fourth proportional to 230,400.32, 345,658.73 and 64,188.32 is: 96,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400.32 : 345,658.73 = 64,188.32 : x
  2. Step 2: Convert to fraction form
    230,400.32/345,658.73 = 64,188.32/x
  3. Step 3: Cross multiply
    230,400.32x = 345,658.73 × 64,188.32
  4. Step 4: Simplify right side
    230,400.32x = 22,187,251,122.80
  5. Step 5: Solve for x
    x = 22,187,251,122.80/230,400.32
  6. Step 6: Final answer
    x = 96,298.70

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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.