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Finding the Fourth Proportional to 311,461.77, 429,826.20 and 175,497.33

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Solution

The fourth proportional to 311,461.77, 429,826.20 and 175,497.33 is: 242,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,461.77 : 429,826.20 = 175,497.33 : x
  2. Step 2: Convert to fraction form
    311,461.77/429,826.20 = 175,497.33/x
  3. Step 3: Cross multiply
    311,461.77x = 429,826.20 × 175,497.33
  4. Step 4: Simplify right side
    311,461.77x = 75,433,350,464.05
  5. Step 5: Solve for x
    x = 75,433,350,464.05/311,461.77
  6. Step 6: Final answer
    x = 242,191.36

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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.