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Finding the Fourth Proportional to 409,274.12, 564,723.32 and 227,981.54

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Solution

The fourth proportional to 409,274.12, 564,723.32 and 227,981.54 is: 314,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,274.12 : 564,723.32 = 227,981.54 : x
  2. Step 2: Convert to fraction form
    409,274.12/564,723.32 = 227,981.54/x
  3. Step 3: Cross multiply
    409,274.12x = 564,723.32 × 227,981.54
  4. Step 4: Simplify right side
    409,274.12x = 128,746,492,439.41
  5. Step 5: Solve for x
    x = 128,746,492,439.41/409,274.12
  6. Step 6: Final answer
    x = 314,572.77

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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.