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Finding the Fourth Proportional to 485,006.32, 669,342.36 and 294,027.76

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Solution

The fourth proportional to 485,006.32, 669,342.36 and 294,027.76 is: 405,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,006.32 : 669,342.36 = 294,027.76 : x
  2. Step 2: Convert to fraction form
    485,006.32/669,342.36 = 294,027.76/x
  3. Step 3: Cross multiply
    485,006.32x = 669,342.36 × 294,027.76
  4. Step 4: Simplify right side
    485,006.32x = 196,805,234,783.91
  5. Step 5: Solve for x
    x = 196,805,234,783.91/485,006.32
  6. Step 6: Final answer
    x = 405,778.70

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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.