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Finding the Fourth Proportional to 472,343.94, 708,255.90 and 322,753.14

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Solution

The fourth proportional to 472,343.94, 708,255.90 and 322,753.14 is: 483,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,343.94 : 708,255.90 = 322,753.14 : x
  2. Step 2: Convert to fraction form
    472,343.94/708,255.90 = 322,753.14/x
  3. Step 3: Cross multiply
    472,343.94x = 708,255.90 × 322,753.14
  4. Step 4: Simplify right side
    472,343.94x = 228,591,815,648.53
  5. Step 5: Solve for x
    x = 228,591,815,648.53/472,343.94
  6. Step 6: Final answer
    x = 483,952.04

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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.