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Finding the Fourth Proportional to 413,922.69, 620,973.63 and 125,710.72

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Solution

The fourth proportional to 413,922.69, 620,973.63 and 125,710.72 is: 188,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,922.69 : 620,973.63 = 125,710.72 : x
  2. Step 2: Convert to fraction form
    413,922.69/620,973.63 = 125,710.72/x
  3. Step 3: Cross multiply
    413,922.69x = 620,973.63 × 125,710.72
  4. Step 4: Simplify right side
    413,922.69x = 78,063,040,575.88
  5. Step 5: Solve for x
    x = 78,063,040,575.88/413,922.69
  6. Step 6: Final answer
    x = 188,593.29

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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.