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Finding the Fourth Proportional to 409,336.32, 564,845.76 and 301,965.96

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Solution

The fourth proportional to 409,336.32, 564,845.76 and 301,965.96 is: 416,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,336.32 : 564,845.76 = 301,965.96 : x
  2. Step 2: Convert to fraction form
    409,336.32/564,845.76 = 301,965.96/x
  3. Step 3: Cross multiply
    409,336.32x = 564,845.76 × 301,965.96
  4. Step 4: Simplify right side
    409,336.32x = 170,564,192,170.33
  5. Step 5: Solve for x
    x = 170,564,192,170.33/409,336.32
  6. Step 6: Final answer
    x = 416,684.73

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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.