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Finding the Fourth Proportional to 354,858.16, 532,287.26 and 283,446.45

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Solution

The fourth proportional to 354,858.16, 532,287.26 and 283,446.45 is: 425,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,858.16 : 532,287.26 = 283,446.45 : x
  2. Step 2: Convert to fraction form
    354,858.16/532,287.26 = 283,446.45/x
  3. Step 3: Cross multiply
    354,858.16x = 532,287.26 × 283,446.45
  4. Step 4: Simplify right side
    354,858.16x = 150,874,932,231.15
  5. Step 5: Solve for x
    x = 150,874,932,231.15/354,858.16
  6. Step 6: Final answer
    x = 425,169.69

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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.