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Finding the Fourth Proportional to 381,852.59, 571,906.99 and 182,313.10

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Solution

The fourth proportional to 381,852.59, 571,906.99 and 182,313.10 is: 273,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,852.59 : 571,906.99 = 182,313.10 : x
  2. Step 2: Convert to fraction form
    381,852.59/571,906.99 = 182,313.10/x
  3. Step 3: Cross multiply
    381,852.59x = 571,906.99 × 182,313.10
  4. Step 4: Simplify right side
    381,852.59x = 104,266,139,066.21
  5. Step 5: Solve for x
    x = 104,266,139,066.21/381,852.59
  6. Step 6: Final answer
    x = 273,053.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.