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Finding the Fourth Proportional to 462,998.40, 694,773.72 and 206,810.88

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Solution

The fourth proportional to 462,998.40, 694,773.72 and 206,810.88 is: 310,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,998.40 : 694,773.72 = 206,810.88 : x
  2. Step 2: Convert to fraction form
    462,998.40/694,773.72 = 206,810.88/x
  3. Step 3: Cross multiply
    462,998.40x = 694,773.72 × 206,810.88
  4. Step 4: Simplify right side
    462,998.40x = 143,686,764,434.07
  5. Step 5: Solve for x
    x = 143,686,764,434.07/462,998.40
  6. Step 6: Final answer
    x = 310,339.66

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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.