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Finding the Fourth Proportional to 311,823.40, 467,872.80 and 151,810.60

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Solution

The fourth proportional to 311,823.40, 467,872.80 and 151,810.60 is: 227,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,823.40 : 467,872.80 = 151,810.60 : x
  2. Step 2: Convert to fraction form
    311,823.40/467,872.80 = 151,810.60/x
  3. Step 3: Cross multiply
    311,823.40x = 467,872.80 × 151,810.60
  4. Step 4: Simplify right side
    311,823.40x = 71,028,050,491.68
  5. Step 5: Solve for x
    x = 71,028,050,491.68/311,823.40
  6. Step 6: Final answer
    x = 227,782.94

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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.