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Finding the Fourth Proportional to 364,543.70, 546,815.55 and 204,455.30

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Solution

The fourth proportional to 364,543.70, 546,815.55 and 204,455.30 is: 306,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,543.70 : 546,815.55 = 204,455.30 : x
  2. Step 2: Convert to fraction form
    364,543.70/546,815.55 = 204,455.30/x
  3. Step 3: Cross multiply
    364,543.70x = 546,815.55 × 204,455.30
  4. Step 4: Simplify right side
    364,543.70x = 111,799,337,319.92
  5. Step 5: Solve for x
    x = 111,799,337,319.92/364,543.70
  6. Step 6: Final answer
    x = 306,682.95

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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.