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Finding the Fourth Proportional to 471,084.93, 706,359.71 and 321,506.43

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Solution

The fourth proportional to 471,084.93, 706,359.71 and 321,506.43 is: 482,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,084.93 : 706,359.71 = 321,506.43 : x
  2. Step 2: Convert to fraction form
    471,084.93/706,359.71 = 321,506.43/x
  3. Step 3: Cross multiply
    471,084.93x = 706,359.71 × 321,506.43
  4. Step 4: Simplify right side
    471,084.93x = 227,099,189,461.70
  5. Step 5: Solve for x
    x = 227,099,189,461.70/471,084.93
  6. Step 6: Final answer
    x = 482,076.96

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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.