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Finding the Fourth Proportional to 311,809.40, 467,851.80 and 151,796.60

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Solution

The fourth proportional to 311,809.40, 467,851.80 and 151,796.60 is: 227,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,809.40 : 467,851.80 = 151,796.60 : x
  2. Step 2: Convert to fraction form
    311,809.40/467,851.80 = 151,796.60/x
  3. Step 3: Cross multiply
    311,809.40x = 467,851.80 × 151,796.60
  4. Step 4: Simplify right side
    311,809.40x = 71,018,312,543.88
  5. Step 5: Solve for x
    x = 71,018,312,543.88/311,809.40
  6. Step 6: Final answer
    x = 227,761.94

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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.