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Finding the Fourth Proportional to 409,429.46, 564,998.28 and 228,132.02

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Solution

The fourth proportional to 409,429.46, 564,998.28 and 228,132.02 is: 314,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,429.46 : 564,998.28 = 228,132.02 : x
  2. Step 2: Convert to fraction form
    409,429.46/564,998.28 = 228,132.02/x
  3. Step 3: Cross multiply
    409,429.46x = 564,998.28 × 228,132.02
  4. Step 4: Simplify right side
    409,429.46x = 128,894,198,912.93
  5. Step 5: Solve for x
    x = 128,894,198,912.93/409,429.46
  6. Step 6: Final answer
    x = 314,814.18

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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.