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Finding the Fourth Proportional to 514,361.07, 709,823.98 and 284,921.87

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Solution

The fourth proportional to 514,361.07, 709,823.98 and 284,921.87 is: 393,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,361.07 : 709,823.98 = 284,921.87 : x
  2. Step 2: Convert to fraction form
    514,361.07/709,823.98 = 284,921.87/x
  3. Step 3: Cross multiply
    514,361.07x = 709,823.98 × 284,921.87
  4. Step 4: Simplify right side
    514,361.07x = 202,244,372,559.48
  5. Step 5: Solve for x
    x = 202,244,372,559.48/514,361.07
  6. Step 6: Final answer
    x = 393,195.33

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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.