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Finding the Fourth Proportional to 468,144.90, 646,039.73 and 264,238.61

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Solution

The fourth proportional to 468,144.90, 646,039.73 and 264,238.61 is: 364,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,144.90 : 646,039.73 = 264,238.61 : x
  2. Step 2: Convert to fraction form
    468,144.90/646,039.73 = 264,238.61/x
  3. Step 3: Cross multiply
    468,144.90x = 646,039.73 × 264,238.61
  4. Step 4: Simplify right side
    468,144.90x = 170,708,635,708.58
  5. Step 5: Solve for x
    x = 170,708,635,708.58/468,144.90
  6. Step 6: Final answer
    x = 364,649.14

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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.