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Finding the Fourth Proportional to 339,712.64, 509,708.63 and 150,072.92

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Solution

The fourth proportional to 339,712.64, 509,708.63 and 150,072.92 is: 225,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,712.64 : 509,708.63 = 150,072.92 : x
  2. Step 2: Convert to fraction form
    339,712.64/509,708.63 = 150,072.92/x
  3. Step 3: Cross multiply
    339,712.64x = 509,708.63 × 150,072.92
  4. Step 4: Simplify right side
    339,712.64x = 76,493,460,279.94
  5. Step 5: Solve for x
    x = 76,493,460,279.94/339,712.64
  6. Step 6: Final answer
    x = 225,171.08

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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.