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Finding the Fourth Proportional to 408,994.92, 564,299.46 and 263,739.24

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Solution

The fourth proportional to 408,994.92, 564,299.46 and 263,739.24 is: 363,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,994.92 : 564,299.46 = 263,739.24 : x
  2. Step 2: Convert to fraction form
    408,994.92/564,299.46 = 263,739.24/x
  3. Step 3: Cross multiply
    408,994.92x = 564,299.46 × 263,739.24
  4. Step 4: Simplify right side
    408,994.92x = 148,827,910,712.81
  5. Step 5: Solve for x
    x = 148,827,910,712.81/408,994.92
  6. Step 6: Final answer
    x = 363,886.94

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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.