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Finding the Fourth Proportional to 504,970.72, 696,229.27 and 323,384.11

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Solution

The fourth proportional to 504,970.72, 696,229.27 and 323,384.11 is: 445,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,970.72 : 696,229.27 = 323,384.11 : x
  2. Step 2: Convert to fraction form
    504,970.72/696,229.27 = 323,384.11/x
  3. Step 3: Cross multiply
    504,970.72x = 696,229.27 × 323,384.11
  4. Step 4: Simplify right side
    504,970.72x = 225,149,480,285.87
  5. Step 5: Solve for x
    x = 225,149,480,285.87/504,970.72
  6. Step 6: Final answer
    x = 445,866.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.