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Finding the Fourth Proportional to 320,477.32, 442,317.87 and 205,899.20

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Solution

The fourth proportional to 320,477.32, 442,317.87 and 205,899.20 is: 284,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,477.32 : 442,317.87 = 205,899.20 : x
  2. Step 2: Convert to fraction form
    320,477.32/442,317.87 = 205,899.20/x
  3. Step 3: Cross multiply
    320,477.32x = 442,317.87 × 205,899.20
  4. Step 4: Simplify right side
    320,477.32x = 91,072,894,878.05
  5. Step 5: Solve for x
    x = 91,072,894,878.05/320,477.32
  6. Step 6: Final answer
    x = 284,178.90

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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.