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Finding the Fourth Proportional to 471,057.54, 706,318.65 and 321,479.04

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Solution

The fourth proportional to 471,057.54, 706,318.65 and 321,479.04 is: 482,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,057.54 : 706,318.65 = 321,479.04 : x
  2. Step 2: Convert to fraction form
    471,057.54/706,318.65 = 321,479.04/x
  3. Step 3: Cross multiply
    471,057.54x = 706,318.65 × 321,479.04
  4. Step 4: Simplify right side
    471,057.54x = 227,066,641,536.10
  5. Step 5: Solve for x
    x = 227,066,641,536.10/471,057.54
  6. Step 6: Final answer
    x = 482,035.89

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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.