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Finding the Fourth Proportional to 311,393.69, 429,724.61 and 175,429.26

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Solution

The fourth proportional to 311,393.69, 429,724.61 and 175,429.26 is: 242,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,393.69 : 429,724.61 = 175,429.26 : x
  2. Step 2: Convert to fraction form
    311,393.69/429,724.61 = 175,429.26/x
  3. Step 3: Cross multiply
    311,393.69x = 429,724.61 × 175,429.26
  4. Step 4: Simplify right side
    311,393.69x = 75,386,269,458.94
  5. Step 5: Solve for x
    x = 75,386,269,458.94/311,393.69
  6. Step 6: Final answer
    x = 242,093.12

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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.