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Finding the Fourth Proportional to 541,094.78, 810,269.12 and 324,818.92

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Solution

The fourth proportional to 541,094.78, 810,269.12 and 324,818.92 is: 486,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,094.78 : 810,269.12 = 324,818.92 : x
  2. Step 2: Convert to fraction form
    541,094.78/810,269.12 = 324,818.92/x
  3. Step 3: Cross multiply
    541,094.78x = 810,269.12 × 324,818.92
  4. Step 4: Simplify right side
    541,094.78x = 263,190,740,467.75
  5. Step 5: Solve for x
    x = 263,190,740,467.75/541,094.78
  6. Step 6: Final answer
    x = 486,404.14

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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.