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Finding the Fourth Proportional to 228,694.16, 343,041.98 and 57,915.77

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Solution

The fourth proportional to 228,694.16, 343,041.98 and 57,915.77 is: 86,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,694.16 : 343,041.98 = 57,915.77 : x
  2. Step 2: Convert to fraction form
    228,694.16/343,041.98 = 57,915.77/x
  3. Step 3: Cross multiply
    228,694.16x = 343,041.98 × 57,915.77
  4. Step 4: Simplify right side
    228,694.16x = 19,867,540,982.05
  5. Step 5: Solve for x
    x = 19,867,540,982.05/228,694.16
  6. Step 6: Final answer
    x = 86,873.85

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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.