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Finding the Fourth Proportional to 465,459.39, 642,334.56 and 264,255.39

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Solution

The fourth proportional to 465,459.39, 642,334.56 and 264,255.39 is: 364,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,459.39 : 642,334.56 = 264,255.39 : x
  2. Step 2: Convert to fraction form
    465,459.39/642,334.56 = 264,255.39/x
  3. Step 3: Cross multiply
    465,459.39x = 642,334.56 × 264,255.39
  4. Step 4: Simplify right side
    465,459.39x = 169,740,369,663.28
  5. Step 5: Solve for x
    x = 169,740,369,663.28/465,459.39
  6. Step 6: Final answer
    x = 364,672.78

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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.