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Finding the Fourth Proportional to 442,287.58, 609,874.52 and 298,798.48

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Solution

The fourth proportional to 442,287.58, 609,874.52 and 298,798.48 is: 412,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,287.58 : 609,874.52 = 298,798.48 : x
  2. Step 2: Convert to fraction form
    442,287.58/609,874.52 = 298,798.48/x
  3. Step 3: Cross multiply
    442,287.58x = 609,874.52 × 298,798.48
  4. Step 4: Simplify right side
    442,287.58x = 182,229,579,566.73
  5. Step 5: Solve for x
    x = 182,229,579,566.73/442,287.58
  6. Step 6: Final answer
    x = 412,016.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.