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Finding the Fourth Proportional to 427,971.98, 641,717.84 and 293,188.34

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Solution

The fourth proportional to 427,971.98, 641,717.84 and 293,188.34 is: 439,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,971.98 : 641,717.84 = 293,188.34 : x
  2. Step 2: Convert to fraction form
    427,971.98/641,717.84 = 293,188.34/x
  3. Step 3: Cross multiply
    427,971.98x = 641,717.84 × 293,188.34
  4. Step 4: Simplify right side
    427,971.98x = 188,144,188,257.99
  5. Step 5: Solve for x
    x = 188,144,188,257.99/427,971.98
  6. Step 6: Final answer
    x = 439,618.01

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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.