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Finding the Fourth Proportional to 294,023.20, 441,034.80 and 205,088.80

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Solution

The fourth proportional to 294,023.20, 441,034.80 and 205,088.80 is: 307,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,023.20 : 441,034.80 = 205,088.80 : x
  2. Step 2: Convert to fraction form
    294,023.20/441,034.80 = 205,088.80/x
  3. Step 3: Cross multiply
    294,023.20x = 441,034.80 × 205,088.80
  4. Step 4: Simplify right side
    294,023.20x = 90,451,297,890.24
  5. Step 5: Solve for x
    x = 90,451,297,890.24/294,023.20
  6. Step 6: Final answer
    x = 307,633.20

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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.