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Finding the Fourth Proportional to 685,825.74, 946,452.96 and 410,467.14

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Solution

The fourth proportional to 685,825.74, 946,452.96 and 410,467.14 is: 566,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,825.74 : 946,452.96 = 410,467.14 : x
  2. Step 2: Convert to fraction form
    685,825.74/946,452.96 = 410,467.14/x
  3. Step 3: Cross multiply
    685,825.74x = 946,452.96 × 410,467.14
  4. Step 4: Simplify right side
    685,825.74x = 388,487,839,635.73
  5. Step 5: Solve for x
    x = 388,487,839,635.73/685,825.74
  6. Step 6: Final answer
    x = 566,452.70

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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.