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Finding the Fourth Proportional to 520,206.67, 780,309.99 and 146,229.67

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Solution

The fourth proportional to 520,206.67, 780,309.99 and 146,229.67 is: 219,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,206.67 : 780,309.99 = 146,229.67 : x
  2. Step 2: Convert to fraction form
    520,206.67/780,309.99 = 146,229.67/x
  3. Step 3: Cross multiply
    520,206.67x = 780,309.99 × 146,229.67
  4. Step 4: Simplify right side
    520,206.67x = 114,104,472,335.40
  5. Step 5: Solve for x
    x = 114,104,472,335.40/520,206.67
  6. Step 6: Final answer
    x = 219,344.50

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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.