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Finding the Fourth Proportional to 277,971.60, 383,600.94 and 150,647.16

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Solution

The fourth proportional to 277,971.60, 383,600.94 and 150,647.16 is: 207,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,971.60 : 383,600.94 = 150,647.16 : x
  2. Step 2: Convert to fraction form
    277,971.60/383,600.94 = 150,647.16/x
  3. Step 3: Cross multiply
    277,971.60x = 383,600.94 × 150,647.16
  4. Step 4: Simplify right side
    277,971.60x = 57,788,392,184.33
  5. Step 5: Solve for x
    x = 57,788,392,184.33/277,971.60
  6. Step 6: Final answer
    x = 207,893.15

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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.