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Finding the Fourth Proportional to 471,933.41, 707,626.73 and 322,354.45

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Solution

The fourth proportional to 471,933.41, 707,626.73 and 322,354.45 is: 483,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,933.41 : 707,626.73 = 322,354.45 : x
  2. Step 2: Convert to fraction form
    471,933.41/707,626.73 = 322,354.45/x
  3. Step 3: Cross multiply
    471,933.41x = 707,626.73 × 322,354.45
  4. Step 4: Simplify right side
    471,933.41x = 228,106,627,044.87
  5. Step 5: Solve for x
    x = 228,106,627,044.87/471,933.41
  6. Step 6: Final answer
    x = 483,344.95

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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.