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Finding the Fourth Proportional to 380,952.96, 525,715.83 and 211,187.09

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Solution

The fourth proportional to 380,952.96, 525,715.83 and 211,187.09 is: 291,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,952.96 : 525,715.83 = 211,187.09 : x
  2. Step 2: Convert to fraction form
    380,952.96/525,715.83 = 211,187.09/x
  3. Step 3: Cross multiply
    380,952.96x = 525,715.83 × 211,187.09
  4. Step 4: Simplify right side
    380,952.96x = 111,024,392,620.12
  5. Step 5: Solve for x
    x = 111,024,392,620.12/380,952.96
  6. Step 6: Final answer
    x = 291,438.59

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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.