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Finding the Fourth Proportional to 467,859.83, 702,036.99 and 331,961.21

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Solution

The fourth proportional to 467,859.83, 702,036.99 and 331,961.21 is: 498,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,859.83 : 702,036.99 = 331,961.21 : x
  2. Step 2: Convert to fraction form
    467,859.83/702,036.99 = 331,961.21/x
  3. Step 3: Cross multiply
    467,859.83x = 702,036.99 × 331,961.21
  4. Step 4: Simplify right side
    467,859.83x = 233,049,045,154.97
  5. Step 5: Solve for x
    x = 233,049,045,154.97/467,859.83
  6. Step 6: Final answer
    x = 498,117.24

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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.