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Finding the Fourth Proportional to 321,197.40, 443,261.16 and 177,973.20

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Solution

The fourth proportional to 321,197.40, 443,261.16 and 177,973.20 is: 245,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,197.40 : 443,261.16 = 177,973.20 : x
  2. Step 2: Convert to fraction form
    321,197.40/443,261.16 = 177,973.20/x
  3. Step 3: Cross multiply
    321,197.40x = 443,261.16 × 177,973.20
  4. Step 4: Simplify right side
    321,197.40x = 78,888,607,080.91
  5. Step 5: Solve for x
    x = 78,888,607,080.91/321,197.40
  6. Step 6: Final answer
    x = 245,607.86

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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.