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Finding the Fourth Proportional to 500,911.30, 691,284.09 and 274,566.34

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Solution

The fourth proportional to 500,911.30, 691,284.09 and 274,566.34 is: 378,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,911.30 : 691,284.09 = 274,566.34 : x
  2. Step 2: Convert to fraction form
    500,911.30/691,284.09 = 274,566.34/x
  3. Step 3: Cross multiply
    500,911.30x = 691,284.09 × 274,566.34
  4. Step 4: Simplify right side
    500,911.30x = 189,803,342,491.53
  5. Step 5: Solve for x
    x = 189,803,342,491.53/500,911.30
  6. Step 6: Final answer
    x = 378,916.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.