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Finding the Fourth Proportional to 308,735.24, 463,094.22 and 98,385.80

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Solution

The fourth proportional to 308,735.24, 463,094.22 and 98,385.80 is: 147,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,735.24 : 463,094.22 = 98,385.80 : x
  2. Step 2: Convert to fraction form
    308,735.24/463,094.22 = 98,385.80/x
  3. Step 3: Cross multiply
    308,735.24x = 463,094.22 × 98,385.80
  4. Step 4: Simplify right side
    308,735.24x = 45,561,895,310.08
  5. Step 5: Solve for x
    x = 45,561,895,310.08/308,735.24
  6. Step 6: Final answer
    x = 147,575.95

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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.