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Finding the Fourth Proportional to 722,057.74, 996,544.61 and 416,074.57

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Solution

The fourth proportional to 722,057.74, 996,544.61 and 416,074.57 is: 574,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,057.74 : 996,544.61 = 416,074.57 : x
  2. Step 2: Convert to fraction form
    722,057.74/996,544.61 = 416,074.57/x
  3. Step 3: Cross multiply
    722,057.74x = 996,544.61 × 416,074.57
  4. Step 4: Simplify right side
    722,057.74x = 414,636,870,091.57
  5. Step 5: Solve for x
    x = 414,636,870,091.57/722,057.74
  6. Step 6: Final answer
    x = 574,243.37

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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.