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Finding the Fourth Proportional to 411,889.16, 617,924.30 and 234,479.24

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Solution

The fourth proportional to 411,889.16, 617,924.30 and 234,479.24 is: 351,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,889.16 : 617,924.30 = 234,479.24 : x
  2. Step 2: Convert to fraction form
    411,889.16/617,924.30 = 234,479.24/x
  3. Step 3: Cross multiply
    411,889.16x = 617,924.30 × 234,479.24
  4. Step 4: Simplify right side
    411,889.16x = 144,890,420,241.53
  5. Step 5: Solve for x
    x = 144,890,420,241.53/411,889.16
  6. Step 6: Final answer
    x = 351,770.41

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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.