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Finding the Fourth Proportional to 283,906.34, 424,973.70 and 209,110.94

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Solution

The fourth proportional to 283,906.34, 424,973.70 and 209,110.94 is: 313,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,906.34 : 424,973.70 = 209,110.94 : x
  2. Step 2: Convert to fraction form
    283,906.34/424,973.70 = 209,110.94/x
  3. Step 3: Cross multiply
    283,906.34x = 424,973.70 × 209,110.94
  4. Step 4: Simplify right side
    283,906.34x = 88,866,649,882.28
  5. Step 5: Solve for x
    x = 88,866,649,882.28/283,906.34
  6. Step 6: Final answer
    x = 313,013.97

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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.