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Finding the Fourth Proportional to 339,701.76, 509,168.16 and 170,953.92

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Solution

The fourth proportional to 339,701.76, 509,168.16 and 170,953.92 is: 256,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,701.76 : 509,168.16 = 170,953.92 : x
  2. Step 2: Convert to fraction form
    339,701.76/509,168.16 = 170,953.92/x
  3. Step 3: Cross multiply
    339,701.76x = 509,168.16 × 170,953.92
  4. Step 4: Simplify right side
    339,701.76x = 87,044,292,891.19
  5. Step 5: Solve for x
    x = 87,044,292,891.19/339,701.76
  6. Step 6: Final answer
    x = 256,237.39

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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.