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Finding the Fourth Proportional to 380,414.13, 524,967.71 and 205,983.49

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Solution

The fourth proportional to 380,414.13, 524,967.71 and 205,983.49 is: 284,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,414.13 : 524,967.71 = 205,983.49 : x
  2. Step 2: Convert to fraction form
    380,414.13/524,967.71 = 205,983.49/x
  3. Step 3: Cross multiply
    380,414.13x = 524,967.71 × 205,983.49
  4. Step 4: Simplify right side
    380,414.13x = 108,134,681,043.11
  5. Step 5: Solve for x
    x = 108,134,681,043.11/380,414.13
  6. Step 6: Final answer
    x = 284,255.16

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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.