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Finding the Fourth Proportional to 413,794.24, 620,999.39 and 307,425.85

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Solution

The fourth proportional to 413,794.24, 620,999.39 and 307,425.85 is: 461,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,794.24 : 620,999.39 = 307,425.85 : x
  2. Step 2: Convert to fraction form
    413,794.24/620,999.39 = 307,425.85/x
  3. Step 3: Cross multiply
    413,794.24x = 620,999.39 × 307,425.85
  4. Step 4: Simplify right side
    413,794.24x = 190,911,264,536.30
  5. Step 5: Solve for x
    x = 190,911,264,536.30/413,794.24
  6. Step 6: Final answer
    x = 461,367.62

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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.