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Finding the Fourth Proportional to 380,318.64, 524,837.94 and 205,888.38

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Solution

The fourth proportional to 380,318.64, 524,837.94 and 205,888.38 is: 284,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,318.64 : 524,837.94 = 205,888.38 : x
  2. Step 2: Convert to fraction form
    380,318.64/524,837.94 = 205,888.38/x
  3. Step 3: Cross multiply
    380,318.64x = 524,837.94 × 205,888.38
  4. Step 4: Simplify right side
    380,318.64x = 108,058,033,229.14
  5. Step 5: Solve for x
    x = 108,058,033,229.14/380,318.64
  6. Step 6: Final answer
    x = 284,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.