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Finding the Fourth Proportional to 311,182, 429,405.63 and 175,172.47

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Solution

The fourth proportional to 311,182, 429,405.63 and 175,172.47 is: 241,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,182 : 429,405.63 = 175,172.47 : x
  2. Step 2: Convert to fraction form
    311,182/429,405.63 = 175,172.47/x
  3. Step 3: Cross multiply
    311,182x = 429,405.63 × 175,172.47
  4. Step 4: Simplify right side
    311,182x = 75,220,044,839.01
  5. Step 5: Solve for x
    x = 75,220,044,839.01/311,182
  6. Step 6: Final answer
    x = 241,723.64

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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.