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Finding the Fourth Proportional to 382,523.60, 573,785.40 and 314,872.40

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Solution

The fourth proportional to 382,523.60, 573,785.40 and 314,872.40 is: 472,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,523.60 : 573,785.40 = 314,872.40 : x
  2. Step 2: Convert to fraction form
    382,523.60/573,785.40 = 314,872.40/x
  3. Step 3: Cross multiply
    382,523.60x = 573,785.40 × 314,872.40
  4. Step 4: Simplify right side
    382,523.60x = 180,669,185,982.96
  5. Step 5: Solve for x
    x = 180,669,185,982.96/382,523.60
  6. Step 6: Final answer
    x = 472,308.60

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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.