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Finding the Fourth Proportional to 411,633, 617,274.36 and 253,819.08

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Solution

The fourth proportional to 411,633, 617,274.36 and 253,819.08 is: 380,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,633 : 617,274.36 = 253,819.08 : x
  2. Step 2: Convert to fraction form
    411,633/617,274.36 = 253,819.08/x
  3. Step 3: Cross multiply
    411,633x = 617,274.36 × 253,819.08
  4. Step 4: Simplify right side
    411,633x = 156,676,010,162.79
  5. Step 5: Solve for x
    x = 156,676,010,162.79/411,633
  6. Step 6: Final answer
    x = 380,620.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.