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Finding the Fourth Proportional to 311,858.60, 467,798.70 and 98,628.80

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Solution

The fourth proportional to 311,858.60, 467,798.70 and 98,628.80 is: 147,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,858.60 : 467,798.70 = 98,628.80 : x
  2. Step 2: Convert to fraction form
    311,858.60/467,798.70 = 98,628.80/x
  3. Step 3: Cross multiply
    311,858.60x = 467,798.70 × 98,628.80
  4. Step 4: Simplify right side
    311,858.60x = 46,138,424,422.56
  5. Step 5: Solve for x
    x = 46,138,424,422.56/311,858.60
  6. Step 6: Final answer
    x = 147,946.62

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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.