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Finding the Fourth Proportional to 471,084.43, 706,358.96 and 321,505.93

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Solution

The fourth proportional to 471,084.43, 706,358.96 and 321,505.93 is: 482,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,084.43 : 706,358.96 = 321,505.93 : x
  2. Step 2: Convert to fraction form
    471,084.43/706,358.96 = 321,505.93/x
  3. Step 3: Cross multiply
    471,084.43x = 706,358.96 × 321,505.93
  4. Step 4: Simplify right side
    471,084.43x = 227,098,594,348.63
  5. Step 5: Solve for x
    x = 227,098,594,348.63/471,084.43
  6. Step 6: Final answer
    x = 482,076.21

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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.