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Finding the Fourth Proportional to 298,906.64, 448,261.56 and 109,323.92

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Solution

The fourth proportional to 298,906.64, 448,261.56 and 109,323.92 is: 163,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906.64 : 448,261.56 = 109,323.92 : x
  2. Step 2: Convert to fraction form
    298,906.64/448,261.56 = 109,323.92/x
  3. Step 3: Cross multiply
    298,906.64x = 448,261.56 × 109,323.92
  4. Step 4: Simplify right side
    298,906.64x = 49,005,710,924.52
  5. Step 5: Solve for x
    x = 49,005,710,924.52/298,906.64
  6. Step 6: Final answer
    x = 163,949.89

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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.