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Finding the Fourth Proportional to 356,182.97, 533,426.31 and 206,106.98

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Solution

The fourth proportional to 356,182.97, 533,426.31 and 206,106.98 is: 308,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,182.97 : 533,426.31 = 206,106.98 : x
  2. Step 2: Convert to fraction form
    356,182.97/533,426.31 = 206,106.98/x
  3. Step 3: Cross multiply
    356,182.97x = 533,426.31 × 206,106.98
  4. Step 4: Simplify right side
    356,182.97x = 109,942,883,139.51
  5. Step 5: Solve for x
    x = 109,942,883,139.51/356,182.97
  6. Step 6: Final answer
    x = 308,669.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.