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Finding the Fourth Proportional to 375,184.24, 517,754.16 and 205,418.32

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Solution

The fourth proportional to 375,184.24, 517,754.16 and 205,418.32 is: 283,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,184.24 : 517,754.16 = 205,418.32 : x
  2. Step 2: Convert to fraction form
    375,184.24/517,754.16 = 205,418.32/x
  3. Step 3: Cross multiply
    375,184.24x = 517,754.16 × 205,418.32
  4. Step 4: Simplify right side
    375,184.24x = 106,356,189,720.21
  5. Step 5: Solve for x
    x = 106,356,189,720.21/375,184.24
  6. Step 6: Final answer
    x = 283,477.23

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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.