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Finding the Fourth Proportional to 357,769.60, 536,193.60 and 274,249.60

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Solution

The fourth proportional to 357,769.60, 536,193.60 and 274,249.60 is: 411,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,769.60 : 536,193.60 = 274,249.60 : x
  2. Step 2: Convert to fraction form
    357,769.60/536,193.60 = 274,249.60/x
  3. Step 3: Cross multiply
    357,769.60x = 536,193.60 × 274,249.60
  4. Step 4: Simplify right side
    357,769.60x = 147,050,880,322.56
  5. Step 5: Solve for x
    x = 147,050,880,322.56/357,769.60
  6. Step 6: Final answer
    x = 411,021.17

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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.