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Finding the Fourth Proportional to 465,589.52, 699,270.04 and 289,328.32

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Solution

The fourth proportional to 465,589.52, 699,270.04 and 289,328.32 is: 434,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,589.52 : 699,270.04 = 289,328.32 : x
  2. Step 2: Convert to fraction form
    465,589.52/699,270.04 = 289,328.32/x
  3. Step 3: Cross multiply
    465,589.52x = 699,270.04 × 289,328.32
  4. Step 4: Simplify right side
    465,589.52x = 202,318,625,899.53
  5. Step 5: Solve for x
    x = 202,318,625,899.53/465,589.52
  6. Step 6: Final answer
    x = 434,542.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.