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Finding the Fourth Proportional to 381,011.40, 571,859.73 and 203,670

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Solution

The fourth proportional to 381,011.40, 571,859.73 and 203,670 is: 305,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,011.40 : 571,859.73 = 203,670 : x
  2. Step 2: Convert to fraction form
    381,011.40/571,859.73 = 203,670/x
  3. Step 3: Cross multiply
    381,011.40x = 571,859.73 × 203,670
  4. Step 4: Simplify right side
    381,011.40x = 116,470,671,209.10
  5. Step 5: Solve for x
    x = 116,470,671,209.10/381,011.40
  6. Step 6: Final answer
    x = 305,688.15

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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.