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Finding the Fourth Proportional to 277,735.20, 416,516.40 and 100,219.08

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Solution

The fourth proportional to 277,735.20, 416,516.40 and 100,219.08 is: 150,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,735.20 : 416,516.40 = 100,219.08 : x
  2. Step 2: Convert to fraction form
    277,735.20/416,516.40 = 100,219.08/x
  3. Step 3: Cross multiply
    277,735.20x = 416,516.40 × 100,219.08
  4. Step 4: Simplify right side
    277,735.20x = 41,742,890,412.91
  5. Step 5: Solve for x
    x = 41,742,890,412.91/277,735.20
  6. Step 6: Final answer
    x = 150,297.44

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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.