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Finding the Fourth Proportional to 277,520.37, 416,407.72 and 150,971.03

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Solution

The fourth proportional to 277,520.37, 416,407.72 and 150,971.03 is: 226,525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,520.37 : 416,407.72 = 150,971.03 : x
  2. Step 2: Convert to fraction form
    277,520.37/416,407.72 = 150,971.03/x
  3. Step 3: Cross multiply
    277,520.37x = 416,407.72 × 150,971.03
  4. Step 4: Simplify right side
    277,520.37x = 62,865,502,388.35
  5. Step 5: Solve for x
    x = 62,865,502,388.35/277,520.37
  6. Step 6: Final answer
    x = 226,525.72

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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.