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Finding the Fourth Proportional to 262,472.28, 393,882.12 and 144,226

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Solution

The fourth proportional to 262,472.28, 393,882.12 and 144,226 is: 216,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,472.28 : 393,882.12 = 144,226 : x
  2. Step 2: Convert to fraction form
    262,472.28/393,882.12 = 144,226/x
  3. Step 3: Cross multiply
    262,472.28x = 393,882.12 × 144,226
  4. Step 4: Simplify right side
    262,472.28x = 56,808,042,639.12
  5. Step 5: Solve for x
    x = 56,808,042,639.12/262,472.28
  6. Step 6: Final answer
    x = 216,434.45

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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.