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Finding the Fourth Proportional to 471,116.28, 706,405.86 and 321,537.64

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Solution

The fourth proportional to 471,116.28, 706,405.86 and 321,537.64 is: 482,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,116.28 : 706,405.86 = 321,537.64 : x
  2. Step 2: Convert to fraction form
    471,116.28/706,405.86 = 321,537.64/x
  3. Step 3: Cross multiply
    471,116.28x = 706,405.86 × 321,537.64
  4. Step 4: Simplify right side
    471,116.28x = 227,136,073,106.57
  5. Step 5: Solve for x
    x = 227,136,073,106.57/471,116.28
  6. Step 6: Final answer
    x = 482,123.17

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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.