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Finding the Fourth Proportional to 320,492.65, 442,416.03 and 199,693.62

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Solution

The fourth proportional to 320,492.65, 442,416.03 and 199,693.62 is: 275,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.65 : 442,416.03 = 199,693.62 : x
  2. Step 2: Convert to fraction form
    320,492.65/442,416.03 = 199,693.62/x
  3. Step 3: Cross multiply
    320,492.65x = 442,416.03 × 199,693.62
  4. Step 4: Simplify right side
    320,492.65x = 88,347,658,268.50
  5. Step 5: Solve for x
    x = 88,347,658,268.50/320,492.65
  6. Step 6: Final answer
    x = 275,662.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.