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Finding the Fourth Proportional to 697,096, 962,194.44 and 452,074.24

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Solution

The fourth proportional to 697,096, 962,194.44 and 452,074.24 is: 623,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,096 : 962,194.44 = 452,074.24 : x
  2. Step 2: Convert to fraction form
    697,096/962,194.44 = 452,074.24/x
  3. Step 3: Cross multiply
    697,096x = 962,194.44 × 452,074.24
  4. Step 4: Simplify right side
    697,096x = 434,983,320,195.23
  5. Step 5: Solve for x
    x = 434,983,320,195.23/697,096
  6. Step 6: Final answer
    x = 623,993.42

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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.