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Finding the Fourth Proportional to 499,524.48, 689,406.92 and 327,587.13

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Solution

The fourth proportional to 499,524.48, 689,406.92 and 327,587.13 is: 452,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,524.48 : 689,406.92 = 327,587.13 : x
  2. Step 2: Convert to fraction form
    499,524.48/689,406.92 = 327,587.13/x
  3. Step 3: Cross multiply
    499,524.48x = 689,406.92 × 327,587.13
  4. Step 4: Simplify right side
    499,524.48x = 225,840,832,687.00
  5. Step 5: Solve for x
    x = 225,840,832,687.00/499,524.48
  6. Step 6: Final answer
    x = 452,111.64

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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.