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Finding the Fourth Proportional to 411,275.88, 617,217.01 and 195,135.52

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Solution

The fourth proportional to 411,275.88, 617,217.01 and 195,135.52 is: 292,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,275.88 : 617,217.01 = 195,135.52 : x
  2. Step 2: Convert to fraction form
    411,275.88/617,217.01 = 195,135.52/x
  3. Step 3: Cross multiply
    411,275.88x = 617,217.01 × 195,135.52
  4. Step 4: Simplify right side
    411,275.88x = 120,440,962,199.20
  5. Step 5: Solve for x
    x = 120,440,962,199.20/411,275.88
  6. Step 6: Final answer
    x = 292,847.13

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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.