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Finding the Fourth Proportional to 524,766.99, 786,651.57 and 205,123.73

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Solution

The fourth proportional to 524,766.99, 786,651.57 and 205,123.73 is: 307,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,766.99 : 786,651.57 = 205,123.73 : x
  2. Step 2: Convert to fraction form
    524,766.99/786,651.57 = 205,123.73/x
  3. Step 3: Cross multiply
    524,766.99x = 786,651.57 × 205,123.73
  4. Step 4: Simplify right side
    524,766.99x = 161,360,900,315.50
  5. Step 5: Solve for x
    x = 161,360,900,315.50/524,766.99
  6. Step 6: Final answer
    x = 307,490.57

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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.