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Finding the Fourth Proportional to 601,364.12, 829,651.31 and 343,255.44

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Solution

The fourth proportional to 601,364.12, 829,651.31 and 343,255.44 is: 473,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,364.12 : 829,651.31 = 343,255.44 : x
  2. Step 2: Convert to fraction form
    601,364.12/829,651.31 = 343,255.44/x
  3. Step 3: Cross multiply
    601,364.12x = 829,651.31 × 343,255.44
  4. Step 4: Simplify right side
    601,364.12x = 284,782,324,441.37
  5. Step 5: Solve for x
    x = 284,782,324,441.37/601,364.12
  6. Step 6: Final answer
    x = 473,560.56

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1.5x scale

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.