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Finding the Fourth Proportional to 399,952.64, 600,223.68 and 189,589.76

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Solution

The fourth proportional to 399,952.64, 600,223.68 and 189,589.76 is: 284,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,952.64 : 600,223.68 = 189,589.76 : x
  2. Step 2: Convert to fraction form
    399,952.64/600,223.68 = 189,589.76/x
  3. Step 3: Cross multiply
    399,952.64x = 600,223.68 × 189,589.76
  4. Step 4: Simplify right side
    399,952.64x = 113,796,263,437.52
  5. Step 5: Solve for x
    x = 113,796,263,437.52/399,952.64
  6. Step 6: Final answer
    x = 284,524.35

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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.