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Finding the Fourth Proportional to 417,524.40, 576,212.16 and 236,236.32

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Solution

The fourth proportional to 417,524.40, 576,212.16 and 236,236.32 is: 326,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,524.40 : 576,212.16 = 236,236.32 : x
  2. Step 2: Convert to fraction form
    417,524.40/576,212.16 = 236,236.32/x
  3. Step 3: Cross multiply
    417,524.40x = 576,212.16 × 236,236.32
  4. Step 4: Simplify right side
    417,524.40x = 136,122,240,217.65
  5. Step 5: Solve for x
    x = 136,122,240,217.65/417,524.40
  6. Step 6: Final answer
    x = 326,022.24

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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.