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Finding the Fourth Proportional to 375,723.84, 518,498.91 and 205,954.32

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Solution

The fourth proportional to 375,723.84, 518,498.91 and 205,954.32 is: 284,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,723.84 : 518,498.91 = 205,954.32 : x
  2. Step 2: Convert to fraction form
    375,723.84/518,498.91 = 205,954.32/x
  3. Step 3: Cross multiply
    375,723.84x = 518,498.91 × 205,954.32
  4. Step 4: Simplify right side
    375,723.84x = 106,787,090,429.79
  5. Step 5: Solve for x
    x = 106,787,090,429.79/375,723.84
  6. Step 6: Final answer
    x = 284,216.97

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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.