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Finding the Fourth Proportional to 416,608.42, 574,489.65 and 356,378.44

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Solution

The fourth proportional to 416,608.42, 574,489.65 and 356,378.44 is: 491,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,608.42 : 574,489.65 = 356,378.44 : x
  2. Step 2: Convert to fraction form
    416,608.42/574,489.65 = 356,378.44/x
  3. Step 3: Cross multiply
    416,608.42x = 574,489.65 × 356,378.44
  4. Step 4: Simplify right side
    416,608.42x = 204,735,725,263.15
  5. Step 5: Solve for x
    x = 204,735,725,263.15/416,608.42
  6. Step 6: Final answer
    x = 491,434.44

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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.