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Finding the Fourth Proportional to 364,578.80, 547,192.20 and 214,631.60

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Solution

The fourth proportional to 364,578.80, 547,192.20 and 214,631.60 is: 322,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,578.80 : 547,192.20 = 214,631.60 : x
  2. Step 2: Convert to fraction form
    364,578.80/547,192.20 = 214,631.60/x
  3. Step 3: Cross multiply
    364,578.80x = 547,192.20 × 214,631.60
  4. Step 4: Simplify right side
    364,578.80x = 117,444,737,393.52
  5. Step 5: Solve for x
    x = 117,444,737,393.52/364,578.80
  6. Step 6: Final answer
    x = 322,138.14

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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.