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Finding the Fourth Proportional to 341,096.91, 470,898.30 and 205,161.21

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Solution

The fourth proportional to 341,096.91, 470,898.30 and 205,161.21 is: 283,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,096.91 : 470,898.30 = 205,161.21 : x
  2. Step 2: Convert to fraction form
    341,096.91/470,898.30 = 205,161.21/x
  3. Step 3: Cross multiply
    341,096.91x = 470,898.30 × 205,161.21
  4. Step 4: Simplify right side
    341,096.91x = 96,610,065,014.94
  5. Step 5: Solve for x
    x = 96,610,065,014.94/341,096.91
  6. Step 6: Final answer
    x = 283,233.48

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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.