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Finding the Fourth Proportional to 293,489.84, 440,432.04 and 103,949.54

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Solution

The fourth proportional to 293,489.84, 440,432.04 and 103,949.54 is: 155,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,489.84 : 440,432.04 = 103,949.54 : x
  2. Step 2: Convert to fraction form
    293,489.84/440,432.04 = 103,949.54/x
  3. Step 3: Cross multiply
    293,489.84x = 440,432.04 × 103,949.54
  4. Step 4: Simplify right side
    293,489.84x = 45,782,706,146.91
  5. Step 5: Solve for x
    x = 45,782,706,146.91/293,489.84
  6. Step 6: Final answer
    x = 155,994.18

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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.