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Finding the Fourth Proportional to 296,649.92, 444,937.80 and 96,953.60

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Solution

The fourth proportional to 296,649.92, 444,937.80 and 96,953.60 is: 145,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,649.92 : 444,937.80 = 96,953.60 : x
  2. Step 2: Convert to fraction form
    296,649.92/444,937.80 = 96,953.60/x
  3. Step 3: Cross multiply
    296,649.92x = 444,937.80 × 96,953.60
  4. Step 4: Simplify right side
    296,649.92x = 43,138,321,486.08
  5. Step 5: Solve for x
    x = 43,138,321,486.08/296,649.92
  6. Step 6: Final answer
    x = 145,418.28

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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.