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Finding the Fourth Proportional to 509,371.32, 763,794.42 and 228,648.12

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Solution

The fourth proportional to 509,371.32, 763,794.42 and 228,648.12 is: 342,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,371.32 : 763,794.42 = 228,648.12 : x
  2. Step 2: Convert to fraction form
    509,371.32/763,794.42 = 228,648.12/x
  3. Step 3: Cross multiply
    509,371.32x = 763,794.42 × 228,648.12
  4. Step 4: Simplify right side
    509,371.32x = 174,640,158,199.49
  5. Step 5: Solve for x
    x = 174,640,158,199.49/509,371.32
  6. Step 6: Final answer
    x = 342,854.32

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