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Finding the Fourth Proportional to 375,952.32, 518,822.28 and 206,186.04

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Solution

The fourth proportional to 375,952.32, 518,822.28 and 206,186.04 is: 284,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,952.32 : 518,822.28 = 206,186.04 : x
  2. Step 2: Convert to fraction form
    375,952.32/518,822.28 = 206,186.04/x
  3. Step 3: Cross multiply
    375,952.32x = 518,822.28 × 206,186.04
  4. Step 4: Simplify right side
    375,952.32x = 106,973,911,376.97
  5. Step 5: Solve for x
    x = 106,973,911,376.97/375,952.32
  6. Step 6: Final answer
    x = 284,541.17

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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.