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Finding the Fourth Proportional to 341,087.92, 470,885.87 and 205,152.21

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Solution

The fourth proportional to 341,087.92, 470,885.87 and 205,152.21 is: 283,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,087.92 : 470,885.87 = 205,152.21 : x
  2. Step 2: Convert to fraction form
    341,087.92/470,885.87 = 205,152.21/x
  3. Step 3: Cross multiply
    341,087.92x = 470,885.87 × 205,152.21
  4. Step 4: Simplify right side
    341,087.92x = 96,603,277,401.15
  5. Step 5: Solve for x
    x = 96,603,277,401.15/341,087.92
  6. Step 6: Final answer
    x = 283,221.05

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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.