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Finding the Fourth Proportional to 414,076.16, 571,602.48 and 285,195.44

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Solution

The fourth proportional to 414,076.16, 571,602.48 and 285,195.44 is: 393,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,076.16 : 571,602.48 = 285,195.44 : x
  2. Step 2: Convert to fraction form
    414,076.16/571,602.48 = 285,195.44/x
  3. Step 3: Cross multiply
    414,076.16x = 571,602.48 × 285,195.44
  4. Step 4: Simplify right side
    414,076.16x = 163,018,420,788.69
  5. Step 5: Solve for x
    x = 163,018,420,788.69/414,076.16
  6. Step 6: Final answer
    x = 393,691.88

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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.