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Finding the Fourth Proportional to 364,343.47, 546,520.77 and 164,524.57

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Solution

The fourth proportional to 364,343.47, 546,520.77 and 164,524.57 is: 246,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,343.47 : 546,520.77 = 164,524.57 : x
  2. Step 2: Convert to fraction form
    364,343.47/546,520.77 = 164,524.57/x
  3. Step 3: Cross multiply
    364,343.47x = 546,520.77 × 164,524.57
  4. Step 4: Simplify right side
    364,343.47x = 89,916,093,314.02
  5. Step 5: Solve for x
    x = 89,916,093,314.02/364,343.47
  6. Step 6: Final answer
    x = 246,789.37

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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.