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Finding the Fourth Proportional to 509,369.82, 763,792.17 and 228,646.62

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Solution

The fourth proportional to 509,369.82, 763,792.17 and 228,646.62 is: 342,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,369.82 : 763,792.17 = 228,646.62 : x
  2. Step 2: Convert to fraction form
    509,369.82/763,792.17 = 228,646.62/x
  3. Step 3: Cross multiply
    509,369.82x = 763,792.17 × 228,646.62
  4. Step 4: Simplify right side
    509,369.82x = 174,638,498,052.97
  5. Step 5: Solve for x
    x = 174,638,498,052.97/509,369.82
  6. Step 6: Final answer
    x = 342,852.07

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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.