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Finding the Fourth Proportional to 322,076.64, 482,860.86 and 203,498.04

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Solution

The fourth proportional to 322,076.64, 482,860.86 and 203,498.04 is: 305,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,076.64 : 482,860.86 = 203,498.04 : x
  2. Step 2: Convert to fraction form
    322,076.64/482,860.86 = 203,498.04/x
  3. Step 3: Cross multiply
    322,076.64x = 482,860.86 × 203,498.04
  4. Step 4: Simplify right side
    322,076.64x = 98,261,238,602.71
  5. Step 5: Solve for x
    x = 98,261,238,602.71/322,076.64
  6. Step 6: Final answer
    x = 305,086.51

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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.