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Finding the Fourth Proportional to 341,093.16, 470,893.11 and 205,157.46

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Solution

The fourth proportional to 341,093.16, 470,893.11 and 205,157.46 is: 283,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,093.16 : 470,893.11 = 205,157.46 : x
  2. Step 2: Convert to fraction form
    341,093.16/470,893.11 = 205,157.46/x
  3. Step 3: Cross multiply
    341,093.16x = 470,893.11 × 205,157.46
  4. Step 4: Simplify right side
    341,093.16x = 96,607,234,379.10
  5. Step 5: Solve for x
    x = 96,607,234,379.10/341,093.16
  6. Step 6: Final answer
    x = 283,228.30

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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.