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Finding the Fourth Proportional to 308,851.60, 463,234.20 and 98,510.80

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Solution

The fourth proportional to 308,851.60, 463,234.20 and 98,510.80 is: 147,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,851.60 : 463,234.20 = 98,510.80 : x
  2. Step 2: Convert to fraction form
    308,851.60/463,234.20 = 98,510.80/x
  3. Step 3: Cross multiply
    308,851.60x = 463,234.20 × 98,510.80
  4. Step 4: Simplify right side
    308,851.60x = 45,633,571,629.36
  5. Step 5: Solve for x
    x = 45,633,571,629.36/308,851.60
  6. Step 6: Final answer
    x = 147,752.42

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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.