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Finding the Fourth Proportional to 465,867.52, 642,893.64 and 264,663.52

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Solution

The fourth proportional to 465,867.52, 642,893.64 and 264,663.52 is: 365,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,867.52 : 642,893.64 = 264,663.52 : x
  2. Step 2: Convert to fraction form
    465,867.52/642,893.64 = 264,663.52/x
  3. Step 3: Cross multiply
    465,867.52x = 642,893.64 × 264,663.52
  4. Step 4: Simplify right side
    465,867.52x = 170,150,493,748.01
  5. Step 5: Solve for x
    x = 170,150,493,748.01/465,867.52
  6. Step 6: Final answer
    x = 365,233.65

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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.