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Finding the Fourth Proportional to 311,157.39, 429,400.25 and 175,164.87

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Solution

The fourth proportional to 311,157.39, 429,400.25 and 175,164.87 is: 241,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,157.39 : 429,400.25 = 175,164.87 : x
  2. Step 2: Convert to fraction form
    311,157.39/429,400.25 = 175,164.87/x
  3. Step 3: Cross multiply
    311,157.39x = 429,400.25 × 175,164.87
  4. Step 4: Simplify right side
    311,157.39x = 75,215,838,969.22
  5. Step 5: Solve for x
    x = 75,215,838,969.22/311,157.39
  6. Step 6: Final answer
    x = 241,729.24

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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.