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Finding the Fourth Proportional to 417,806.48, 576,181.32 and 322,161.68

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Solution

The fourth proportional to 417,806.48, 576,181.32 and 322,161.68 is: 444,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,806.48 : 576,181.32 = 322,161.68 : x
  2. Step 2: Convert to fraction form
    417,806.48/576,181.32 = 322,161.68/x
  3. Step 3: Cross multiply
    417,806.48x = 576,181.32 × 322,161.68
  4. Step 4: Simplify right side
    417,806.48x = 185,623,542,035.82
  5. Step 5: Solve for x
    x = 185,623,542,035.82/417,806.48
  6. Step 6: Final answer
    x = 444,281.15

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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.