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Finding the Fourth Proportional to 523,651.32, 722,594.43 and 294,190.61

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Solution

The fourth proportional to 523,651.32, 722,594.43 and 294,190.61 is: 405,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,651.32 : 722,594.43 = 294,190.61 : x
  2. Step 2: Convert to fraction form
    523,651.32/722,594.43 = 294,190.61/x
  3. Step 3: Cross multiply
    523,651.32x = 722,594.43 × 294,190.61
  4. Step 4: Simplify right side
    523,651.32x = 212,580,492,531.33
  5. Step 5: Solve for x
    x = 212,580,492,531.33/523,651.32
  6. Step 6: Final answer
    x = 405,958.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.