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Finding the Fourth Proportional to 552,335.90, 827,825.42 and 285,944.54

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Solution

The fourth proportional to 552,335.90, 827,825.42 and 285,944.54 is: 428,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,335.90 : 827,825.42 = 285,944.54 : x
  2. Step 2: Convert to fraction form
    552,335.90/827,825.42 = 285,944.54/x
  3. Step 3: Cross multiply
    552,335.90x = 827,825.42 × 285,944.54
  4. Step 4: Simplify right side
    552,335.90x = 236,712,155,497.94
  5. Step 5: Solve for x
    x = 236,712,155,497.94/552,335.90
  6. Step 6: Final answer
    x = 428,565.58

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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.