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Finding the Fourth Proportional to 411,990.52, 617,830.26 and 190,219

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Solution

The fourth proportional to 411,990.52, 617,830.26 and 190,219 is: 285,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,990.52 : 617,830.26 = 190,219 : x
  2. Step 2: Convert to fraction form
    411,990.52/617,830.26 = 190,219/x
  3. Step 3: Cross multiply
    411,990.52x = 617,830.26 × 190,219
  4. Step 4: Simplify right side
    411,990.52x = 117,523,054,226.94
  5. Step 5: Solve for x
    x = 117,523,054,226.94/411,990.52
  6. Step 6: Final answer
    x = 285,256.70

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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.