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Finding the Fourth Proportional to 300,567.74, 450,682.70 and 205,904.66

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Solution

The fourth proportional to 300,567.74, 450,682.70 and 205,904.66 is: 308,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,567.74 : 450,682.70 = 205,904.66 : x
  2. Step 2: Convert to fraction form
    300,567.74/450,682.70 = 205,904.66/x
  3. Step 3: Cross multiply
    300,567.74x = 450,682.70 × 205,904.66
  4. Step 4: Simplify right side
    300,567.74x = 92,797,664,828.45
  5. Step 5: Solve for x
    x = 92,797,664,828.45/300,567.74
  6. Step 6: Final answer
    x = 308,741.27

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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.