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Finding the Fourth Proportional to 296,643.78, 444,961.80 and 72,006

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Solution

The fourth proportional to 296,643.78, 444,961.80 and 72,006 is: 108,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,643.78 : 444,961.80 = 72,006 : x
  2. Step 2: Convert to fraction form
    296,643.78/444,961.80 = 72,006/x
  3. Step 3: Cross multiply
    296,643.78x = 444,961.80 × 72,006
  4. Step 4: Simplify right side
    296,643.78x = 32,039,919,370.80
  5. Step 5: Solve for x
    x = 32,039,919,370.80/296,643.78
  6. Step 6: Final answer
    x = 108,008.06

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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.