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Finding the Fourth Proportional to 364,583.80, 547,199.70 and 214,636.60

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Solution

The fourth proportional to 364,583.80, 547,199.70 and 214,636.60 is: 322,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,583.80 : 547,199.70 = 214,636.60 : x
  2. Step 2: Convert to fraction form
    364,583.80/547,199.70 = 214,636.60/x
  3. Step 3: Cross multiply
    364,583.80x = 547,199.70 × 214,636.60
  4. Step 4: Simplify right side
    364,583.80x = 117,449,083,129.02
  5. Step 5: Solve for x
    x = 117,449,083,129.02/364,583.80
  6. Step 6: Final answer
    x = 322,145.64

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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.