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Finding the Fourth Proportional to 296,649.75, 444,970.80 and 72,012

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Solution

The fourth proportional to 296,649.75, 444,970.80 and 72,012 is: 108,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,649.75 : 444,970.80 = 72,012 : x
  2. Step 2: Convert to fraction form
    296,649.75/444,970.80 = 72,012/x
  3. Step 3: Cross multiply
    296,649.75x = 444,970.80 × 72,012
  4. Step 4: Simplify right side
    296,649.75x = 32,043,237,249.60
  5. Step 5: Solve for x
    x = 32,043,237,249.60/296,649.75
  6. Step 6: Final answer
    x = 108,017.07

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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.