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Finding the Fourth Proportional to 749,761.78, 1,034,668.16 and 405,596.90

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Solution

The fourth proportional to 749,761.78, 1,034,668.16 and 405,596.90 is: 559,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,761.78 : 1,034,668.16 = 405,596.90 : x
  2. Step 2: Convert to fraction form
    749,761.78/1,034,668.16 = 405,596.90/x
  3. Step 3: Cross multiply
    749,761.78x = 1,034,668.16 × 405,596.90
  4. Step 4: Simplify right side
    749,761.78x = 419,658,191,023.38
  5. Step 5: Solve for x
    x = 419,658,191,023.38/749,761.78
  6. Step 6: Final answer
    x = 559,722.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.