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Finding the Fourth Proportional to 380,496.87, 525,058.74 and 217,115.09

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Solution

The fourth proportional to 380,496.87, 525,058.74 and 217,115.09 is: 299,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,496.87 : 525,058.74 = 217,115.09 : x
  2. Step 2: Convert to fraction form
    380,496.87/525,058.74 = 217,115.09/x
  3. Step 3: Cross multiply
    380,496.87x = 525,058.74 × 217,115.09
  4. Step 4: Simplify right side
    380,496.87x = 113,998,174,504.81
  5. Step 5: Solve for x
    x = 113,998,174,504.81/380,496.87
  6. Step 6: Final answer
    x = 299,603.45

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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.