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Finding the Fourth Proportional to 701,148.60, 967,783.26 and 414,768.24

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Solution

The fourth proportional to 701,148.60, 967,783.26 and 414,768.24 is: 572,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,148.60 : 967,783.26 = 414,768.24 : x
  2. Step 2: Convert to fraction form
    701,148.60/967,783.26 = 414,768.24/x
  3. Step 3: Cross multiply
    701,148.60x = 967,783.26 × 414,768.24
  4. Step 4: Simplify right side
    701,148.60x = 401,405,759,451.66
  5. Step 5: Solve for x
    x = 401,405,759,451.66/701,148.60
  6. Step 6: Final answer
    x = 572,497.41

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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.