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Finding the Fourth Proportional to 713,889.87, 1,071,161.81 and 309,205.85

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Solution

The fourth proportional to 713,889.87, 1,071,161.81 and 309,205.85 is: 463,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,889.87 : 1,071,161.81 = 309,205.85 : x
  2. Step 2: Convert to fraction form
    713,889.87/1,071,161.81 = 309,205.85/x
  3. Step 3: Cross multiply
    713,889.87x = 1,071,161.81 × 309,205.85
  4. Step 4: Simplify right side
    713,889.87x = 331,209,497,948.59
  5. Step 5: Solve for x
    x = 331,209,497,948.59/713,889.87
  6. Step 6: Final answer
    x = 463,950.41

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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.