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Finding the Fourth Proportional to 375,830.22, 518,641.83 and 206,064.06

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Solution

The fourth proportional to 375,830.22, 518,641.83 and 206,064.06 is: 284,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,830.22 : 518,641.83 = 206,064.06 : x
  2. Step 2: Convert to fraction form
    375,830.22/518,641.83 = 206,064.06/x
  3. Step 3: Cross multiply
    375,830.22x = 518,641.83 × 206,064.06
  4. Step 4: Simplify right side
    375,830.22x = 106,873,441,175.63
  5. Step 5: Solve for x
    x = 106,873,441,175.63/375,830.22
  6. Step 6: Final answer
    x = 284,366.28

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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.