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Finding the Fourth Proportional to 561,016.45, 842,053.20 and 294,967.90

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Solution

The fourth proportional to 561,016.45, 842,053.20 and 294,967.90 is: 442,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,016.45 : 842,053.20 = 294,967.90 : x
  2. Step 2: Convert to fraction form
    561,016.45/842,053.20 = 294,967.90/x
  3. Step 3: Cross multiply
    561,016.45x = 842,053.20 × 294,967.90
  4. Step 4: Simplify right side
    561,016.45x = 248,378,664,092.28
  5. Step 5: Solve for x
    x = 248,378,664,092.28/561,016.45
  6. Step 6: Final answer
    x = 442,729.73

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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.