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Finding the Fourth Proportional to 509,512.70, 764,074.65 and 154,408.70

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Solution

The fourth proportional to 509,512.70, 764,074.65 and 154,408.70 is: 231,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,512.70 : 764,074.65 = 154,408.70 : x
  2. Step 2: Convert to fraction form
    509,512.70/764,074.65 = 154,408.70/x
  3. Step 3: Cross multiply
    509,512.70x = 764,074.65 × 154,408.70
  4. Step 4: Simplify right side
    509,512.70x = 117,979,773,409.46
  5. Step 5: Solve for x
    x = 117,979,773,409.46/509,512.70
  6. Step 6: Final answer
    x = 231,554.14

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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.