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Finding the Fourth Proportional to 523,227, 784,847.88 and 149,250

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Solution

The fourth proportional to 523,227, 784,847.88 and 149,250 is: 223,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,227 : 784,847.88 = 149,250 : x
  2. Step 2: Convert to fraction form
    523,227/784,847.88 = 149,250/x
  3. Step 3: Cross multiply
    523,227x = 784,847.88 × 149,250
  4. Step 4: Simplify right side
    523,227x = 117,138,546,090
  5. Step 5: Solve for x
    x = 117,138,546,090/523,227
  6. Step 6: Final answer
    x = 223,877.11

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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.