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Finding the Fourth Proportional to 527,584.96, 728,067.89 and 285,867.35

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Solution

The fourth proportional to 527,584.96, 728,067.89 and 285,867.35 is: 394,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,584.96 : 728,067.89 = 285,867.35 : x
  2. Step 2: Convert to fraction form
    527,584.96/728,067.89 = 285,867.35/x
  3. Step 3: Cross multiply
    527,584.96x = 728,067.89 × 285,867.35
  4. Step 4: Simplify right side
    527,584.96x = 208,130,835,408.72
  5. Step 5: Solve for x
    x = 208,130,835,408.72/527,584.96
  6. Step 6: Final answer
    x = 394,497.29

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1.5x scale

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.