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Finding the Fourth Proportional to 411,411.70, 617,117.55 and 395,665.30

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Solution

The fourth proportional to 411,411.70, 617,117.55 and 395,665.30 is: 593,497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,411.70 : 617,117.55 = 395,665.30 : x
  2. Step 2: Convert to fraction form
    411,411.70/617,117.55 = 395,665.30/x
  3. Step 3: Cross multiply
    411,411.70x = 617,117.55 × 395,665.30
  4. Step 4: Simplify right side
    411,411.70x = 244,172,000,556.02
  5. Step 5: Solve for x
    x = 244,172,000,556.02/411,411.70
  6. Step 6: Final answer
    x = 593,497.95

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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.