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Finding the Fourth Proportional to 407,193.45, 561,994.42 and 225,963.60

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Solution

The fourth proportional to 407,193.45, 561,994.42 and 225,963.60 is: 311,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,193.45 : 561,994.42 = 225,963.60 : x
  2. Step 2: Convert to fraction form
    407,193.45/561,994.42 = 225,963.60/x
  3. Step 3: Cross multiply
    407,193.45x = 561,994.42 × 225,963.60
  4. Step 4: Simplify right side
    407,193.45x = 126,990,278,948.23
  5. Step 5: Solve for x
    x = 126,990,278,948.23/407,193.45
  6. Step 6: Final answer
    x = 311,867.19

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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.