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Finding the Fourth Proportional to 471,243.39, 706,872.39 and 447,317.61

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Solution

The fourth proportional to 471,243.39, 706,872.39 and 447,317.61 is: 670,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,243.39 : 706,872.39 = 447,317.61 : x
  2. Step 2: Convert to fraction form
    471,243.39/706,872.39 = 447,317.61/x
  3. Step 3: Cross multiply
    471,243.39x = 706,872.39 × 447,317.61
  4. Step 4: Simplify right side
    471,243.39x = 316,196,468,069.79
  5. Step 5: Solve for x
    x = 316,196,468,069.79/471,243.39
  6. Step 6: Final answer
    x = 670,983.35

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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.