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Finding the Fourth Proportional to 285,291.72, 427,258.34 and 165,095.28

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Solution

The fourth proportional to 285,291.72, 427,258.34 and 165,095.28 is: 247,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,291.72 : 427,258.34 = 165,095.28 : x
  2. Step 2: Convert to fraction form
    285,291.72/427,258.34 = 165,095.28/x
  3. Step 3: Cross multiply
    285,291.72x = 427,258.34 × 165,095.28
  4. Step 4: Simplify right side
    285,291.72x = 70,538,335,274.64
  5. Step 5: Solve for x
    x = 70,538,335,274.64/285,291.72
  6. Step 6: Final answer
    x = 247,249.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.