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Finding the Fourth Proportional to 509,306.32, 763,696.68 and 228,583.36

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Solution

The fourth proportional to 509,306.32, 763,696.68 and 228,583.36 is: 342,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306.32 : 763,696.68 = 228,583.36 : x
  2. Step 2: Convert to fraction form
    509,306.32/763,696.68 = 228,583.36/x
  3. Step 3: Cross multiply
    509,306.32x = 763,696.68 × 228,583.36
  4. Step 4: Simplify right side
    509,306.32x = 174,568,353,135.25
  5. Step 5: Solve for x
    x = 174,568,353,135.25/509,306.32
  6. Step 6: Final answer
    x = 342,757.09

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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.