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Finding the Fourth Proportional to 409,289.46, 564,836.87 and 228,001.17

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Solution

The fourth proportional to 409,289.46, 564,836.87 and 228,001.17 is: 314,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,289.46 : 564,836.87 = 228,001.17 : x
  2. Step 2: Convert to fraction form
    409,289.46/564,836.87 = 228,001.17/x
  3. Step 3: Cross multiply
    409,289.46x = 564,836.87 × 228,001.17
  4. Step 4: Simplify right side
    409,289.46x = 128,783,467,219.14
  5. Step 5: Solve for x
    x = 128,783,467,219.14/409,289.46
  6. Step 6: Final answer
    x = 314,651.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.