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Finding the Fourth Proportional to 375,724.84, 518,500.29 and 205,955.32

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Solution

The fourth proportional to 375,724.84, 518,500.29 and 205,955.32 is: 284,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,724.84 : 518,500.29 = 205,955.32 : x
  2. Step 2: Convert to fraction form
    375,724.84/518,500.29 = 205,955.32/x
  3. Step 3: Cross multiply
    375,724.84x = 518,500.29 × 205,955.32
  4. Step 4: Simplify right side
    375,724.84x = 106,787,893,147.04
  5. Step 5: Solve for x
    x = 106,787,893,147.04/375,724.84
  6. Step 6: Final answer
    x = 284,218.35

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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.