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Finding the Fourth Proportional to 464,952.45, 697,336.74 and 127,906.05

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Solution

The fourth proportional to 464,952.45, 697,336.74 and 127,906.05 is: 191,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,952.45 : 697,336.74 = 127,906.05 : x
  2. Step 2: Convert to fraction form
    464,952.45/697,336.74 = 127,906.05/x
  3. Step 3: Cross multiply
    464,952.45x = 697,336.74 × 127,906.05
  4. Step 4: Simplify right side
    464,952.45x = 89,193,587,933.28
  5. Step 5: Solve for x
    x = 89,193,587,933.28/464,952.45
  6. Step 6: Final answer
    x = 191,833.78

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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.