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Finding the Fourth Proportional to 339,414.90, 509,232.96 and 161,898.84

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Solution

The fourth proportional to 339,414.90, 509,232.96 and 161,898.84 is: 242,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,414.90 : 509,232.96 = 161,898.84 : x
  2. Step 2: Convert to fraction form
    339,414.90/509,232.96 = 161,898.84/x
  3. Step 3: Cross multiply
    339,414.90x = 509,232.96 × 161,898.84
  4. Step 4: Simplify right side
    339,414.90x = 82,444,225,513.77
  5. Step 5: Solve for x
    x = 82,444,225,513.77/339,414.90
  6. Step 6: Final answer
    x = 242,901.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.