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Finding the Fourth Proportional to 256,040.40, 383,369.40 and 200,744.40

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Solution

The fourth proportional to 256,040.40, 383,369.40 and 200,744.40 is: 300,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,040.40 : 383,369.40 = 200,744.40 : x
  2. Step 2: Convert to fraction form
    256,040.40/383,369.40 = 200,744.40/x
  3. Step 3: Cross multiply
    256,040.40x = 383,369.40 × 200,744.40
  4. Step 4: Simplify right side
    256,040.40x = 76,959,260,181.36
  5. Step 5: Solve for x
    x = 76,959,260,181.36/256,040.40
  6. Step 6: Final answer
    x = 300,574.68

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1.5x scale

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.