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Finding the Fourth Proportional to 494,374, 741,298.56 and 227,997.40

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Solution

The fourth proportional to 494,374, 741,298.56 and 227,997.40 is: 341,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,374 : 741,298.56 = 227,997.40 : x
  2. Step 2: Convert to fraction form
    494,374/741,298.56 = 227,997.40/x
  3. Step 3: Cross multiply
    494,374x = 741,298.56 × 227,997.40
  4. Step 4: Simplify right side
    494,374x = 169,014,144,303.74
  5. Step 5: Solve for x
    x = 169,014,144,303.74/494,374
  6. Step 6: Final answer
    x = 341,875.07

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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.