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Finding the Fourth Proportional to 514,406.85, 709,873.74 and 284,963.41

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Solution

The fourth proportional to 514,406.85, 709,873.74 and 284,963.41 is: 393,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,406.85 : 709,873.74 = 284,963.41 : x
  2. Step 2: Convert to fraction form
    514,406.85/709,873.74 = 284,963.41/x
  3. Step 3: Cross multiply
    514,406.85x = 709,873.74 × 284,963.41
  4. Step 4: Simplify right side
    514,406.85x = 202,288,041,619.85
  5. Step 5: Solve for x
    x = 202,288,041,619.85/514,406.85
  6. Step 6: Final answer
    x = 393,245.23

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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.