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Finding the Fourth Proportional to 635,212.85, 951,978.24 and 465,940.59

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Solution

The fourth proportional to 635,212.85, 951,978.24 and 465,940.59 is: 698,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,212.85 : 951,978.24 = 465,940.59 : x
  2. Step 2: Convert to fraction form
    635,212.85/951,978.24 = 465,940.59/x
  3. Step 3: Cross multiply
    635,212.85x = 951,978.24 × 465,940.59
  4. Step 4: Simplify right side
    635,212.85x = 443,565,302,812.76
  5. Step 5: Solve for x
    x = 443,565,302,812.76/635,212.85
  6. Step 6: Final answer
    x = 698,293.98

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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.