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Finding the Fourth Proportional to 411,274.88, 617,215.51 and 195,134.52

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Solution

The fourth proportional to 411,274.88, 617,215.51 and 195,134.52 is: 292,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,274.88 : 617,215.51 = 195,134.52 : x
  2. Step 2: Convert to fraction form
    411,274.88/617,215.51 = 195,134.52/x
  3. Step 3: Cross multiply
    411,274.88x = 617,215.51 × 195,134.52
  4. Step 4: Simplify right side
    411,274.88x = 120,440,050,543.82
  5. Step 5: Solve for x
    x = 120,440,050,543.82/411,274.88
  6. Step 6: Final answer
    x = 292,845.63

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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.