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Finding the Fourth Proportional to 514,405.85, 709,872.36 and 284,962.41

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Solution

The fourth proportional to 514,405.85, 709,872.36 and 284,962.41 is: 393,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,405.85 : 709,872.36 = 284,962.41 : x
  2. Step 2: Convert to fraction form
    514,405.85/709,872.36 = 284,962.41/x
  3. Step 3: Cross multiply
    514,405.85x = 709,872.36 × 284,962.41
  4. Step 4: Simplify right side
    514,405.85x = 202,286,938,497.99
  5. Step 5: Solve for x
    x = 202,286,938,497.99/514,405.85
  6. Step 6: Final answer
    x = 393,243.86

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Why These Related Problems?

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