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Finding the Fourth Proportional to 320,841.64, 442,742.44 and 177,593.14

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Solution

The fourth proportional to 320,841.64, 442,742.44 and 177,593.14 is: 245,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841.64 : 442,742.44 = 177,593.14 : x
  2. Step 2: Convert to fraction form
    320,841.64/442,742.44 = 177,593.14/x
  3. Step 3: Cross multiply
    320,841.64x = 442,742.44 × 177,593.14
  4. Step 4: Simplify right side
    320,841.64x = 78,628,017,029.18
  5. Step 5: Solve for x
    x = 78,628,017,029.18/320,841.64
  6. Step 6: Final answer
    x = 245,068.00

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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.