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Finding the Fourth Proportional to 375,463.86, 518,141.97 and 205,698.06

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Solution

The fourth proportional to 375,463.86, 518,141.97 and 205,698.06 is: 283,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,463.86 : 518,141.97 = 205,698.06 : x
  2. Step 2: Convert to fraction form
    375,463.86/518,141.97 = 205,698.06/x
  3. Step 3: Cross multiply
    375,463.86x = 518,141.97 × 205,698.06
  4. Step 4: Simplify right side
    375,463.86x = 106,580,798,033.58
  5. Step 5: Solve for x
    x = 106,580,798,033.58/375,463.86
  6. Step 6: Final answer
    x = 283,864.33

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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.