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Finding the Fourth Proportional to 844,135, 1,266,202.50 and 253,159

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Solution

The fourth proportional to 844,135, 1,266,202.50 and 253,159 is: 379,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,135 : 1,266,202.50 = 253,159 : x
  2. Step 2: Convert to fraction form
    844,135/1,266,202.50 = 253,159/x
  3. Step 3: Cross multiply
    844,135x = 1,266,202.50 × 253,159
  4. Step 4: Simplify right side
    844,135x = 320,550,558,697.50
  5. Step 5: Solve for x
    x = 320,550,558,697.50/844,135
  6. Step 6: Final answer
    x = 379,738.50

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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.