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Finding the Fourth Proportional to 416,515.26, 574,361.46 and 356,285.28

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Solution

The fourth proportional to 416,515.26, 574,361.46 and 356,285.28 is: 491,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,515.26 : 574,361.46 = 356,285.28 : x
  2. Step 2: Convert to fraction form
    416,515.26/574,361.46 = 356,285.28/x
  3. Step 3: Cross multiply
    416,515.26x = 574,361.46 × 356,285.28
  4. Step 4: Simplify right side
    416,515.26x = 204,636,533,597.31
  5. Step 5: Solve for x
    x = 204,636,533,597.31/416,515.26
  6. Step 6: Final answer
    x = 491,306.21

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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.