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Finding the Fourth Proportional to 263,574.58, 363,759 and 150,414.34

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Solution

The fourth proportional to 263,574.58, 363,759 and 150,414.34 is: 207,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,574.58 : 363,759 = 150,414.34 : x
  2. Step 2: Convert to fraction form
    263,574.58/363,759 = 150,414.34/x
  3. Step 3: Cross multiply
    263,574.58x = 363,759 × 150,414.34
  4. Step 4: Simplify right side
    263,574.58x = 54,714,569,904.06
  5. Step 5: Solve for x
    x = 54,714,569,904.06/263,574.58
  6. Step 6: Final answer
    x = 207,586.67

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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.