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Finding the Fourth Proportional to 416,119.32, 624,031.36 and 149,808.32

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Solution

The fourth proportional to 416,119.32, 624,031.36 and 149,808.32 is: 224,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,119.32 : 624,031.36 = 149,808.32 : x
  2. Step 2: Convert to fraction form
    416,119.32/624,031.36 = 149,808.32/x
  3. Step 3: Cross multiply
    416,119.32x = 624,031.36 × 149,808.32
  4. Step 4: Simplify right side
    416,119.32x = 93,485,089,668.92
  5. Step 5: Solve for x
    x = 93,485,089,668.92/416,119.32
  6. Step 6: Final answer
    x = 224,659.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.