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Finding the Fourth Proportional to 472,182.24, 708,013.66 and 322,591.44

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Solution

The fourth proportional to 472,182.24, 708,013.66 and 322,591.44 is: 483,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,182.24 : 708,013.66 = 322,591.44 : x
  2. Step 2: Convert to fraction form
    472,182.24/708,013.66 = 322,591.44/x
  3. Step 3: Cross multiply
    472,182.24x = 708,013.66 × 322,591.44
  4. Step 4: Simplify right side
    472,182.24x = 228,399,146,119.07
  5. Step 5: Solve for x
    x = 228,399,146,119.07/472,182.24
  6. Step 6: Final answer
    x = 483,709.73

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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.