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Finding the Fourth Proportional to 297,716.30, 446,056.05 and 256,244.30

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Solution

The fourth proportional to 297,716.30, 446,056.05 and 256,244.30 is: 383,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,716.30 : 446,056.05 = 256,244.30 : x
  2. Step 2: Convert to fraction form
    297,716.30/446,056.05 = 256,244.30/x
  3. Step 3: Cross multiply
    297,716.30x = 446,056.05 × 256,244.30
  4. Step 4: Simplify right side
    297,716.30x = 114,299,320,293.02
  5. Step 5: Solve for x
    x = 114,299,320,293.02/297,716.30
  6. Step 6: Final answer
    x = 383,920.26

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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.