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Finding the Fourth Proportional to 504,727.96, 696,600.12 and 323,644.36

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Solution

The fourth proportional to 504,727.96, 696,600.12 and 323,644.36 is: 446,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,727.96 : 696,600.12 = 323,644.36 : x
  2. Step 2: Convert to fraction form
    504,727.96/696,600.12 = 323,644.36/x
  3. Step 3: Cross multiply
    504,727.96x = 696,600.12 × 323,644.36
  4. Step 4: Simplify right side
    504,727.96x = 225,450,700,013.32
  5. Step 5: Solve for x
    x = 225,450,700,013.32/504,727.96
  6. Step 6: Final answer
    x = 446,677.65

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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.