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Finding the Fourth Proportional to 422,531.12, 633,370.22 and 264,870.30

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Solution

The fourth proportional to 422,531.12, 633,370.22 and 264,870.30 is: 397,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,531.12 : 633,370.22 = 264,870.30 : x
  2. Step 2: Convert to fraction form
    422,531.12/633,370.22 = 264,870.30/x
  3. Step 3: Cross multiply
    422,531.12x = 633,370.22 × 264,870.30
  4. Step 4: Simplify right side
    422,531.12x = 167,760,960,182.47
  5. Step 5: Solve for x
    x = 167,760,960,182.47/422,531.12
  6. Step 6: Final answer
    x = 397,038.12

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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.