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Finding the Fourth Proportional to 308,865.60, 463,334.40 and 98,524.80

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Solution

The fourth proportional to 308,865.60, 463,334.40 and 98,524.80 is: 147,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,865.60 : 463,334.40 = 98,524.80 : x
  2. Step 2: Convert to fraction form
    308,865.60/463,334.40 = 98,524.80/x
  3. Step 3: Cross multiply
    308,865.60x = 463,334.40 × 98,524.80
  4. Step 4: Simplify right side
    308,865.60x = 45,649,929,093.12
  5. Step 5: Solve for x
    x = 45,649,929,093.12/308,865.60
  6. Step 6: Final answer
    x = 147,798.68

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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.