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Finding the Fourth Proportional to 422,531.52, 633,370.56 and 264,870.48

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Solution

The fourth proportional to 422,531.52, 633,370.56 and 264,870.48 is: 397,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,531.52 : 633,370.56 = 264,870.48 : x
  2. Step 2: Convert to fraction form
    422,531.52/633,370.56 = 264,870.48/x
  3. Step 3: Cross multiply
    422,531.52x = 633,370.56 × 264,870.48
  4. Step 4: Simplify right side
    422,531.52x = 167,761,164,245.07
  5. Step 5: Solve for x
    x = 167,761,164,245.07/422,531.52
  6. Step 6: Final answer
    x = 397,038.22

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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.