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Finding the Fourth Proportional to 364,321.50, 546,002.45 and 204,394.38

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Solution

The fourth proportional to 364,321.50, 546,002.45 and 204,394.38 is: 306,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321.50 : 546,002.45 = 204,394.38 : x
  2. Step 2: Convert to fraction form
    364,321.50/546,002.45 = 204,394.38/x
  3. Step 3: Cross multiply
    364,321.50x = 546,002.45 × 204,394.38
  4. Step 4: Simplify right side
    364,321.50x = 111,599,832,246.23
  5. Step 5: Solve for x
    x = 111,599,832,246.23/364,321.50
  6. Step 6: Final answer
    x = 306,322.39

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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.