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Finding the Fourth Proportional to 414,206.50, 620,313.28 and 236,173.76

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Solution

The fourth proportional to 414,206.50, 620,313.28 and 236,173.76 is: 353,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,206.50 : 620,313.28 = 236,173.76 : x
  2. Step 2: Convert to fraction form
    414,206.50/620,313.28 = 236,173.76/x
  3. Step 3: Cross multiply
    414,206.50x = 620,313.28 × 236,173.76
  4. Step 4: Simplify right side
    414,206.50x = 146,501,719,715.53
  5. Step 5: Solve for x
    x = 146,501,719,715.53/414,206.50
  6. Step 6: Final answer
    x = 353,692.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.