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Finding the Fourth Proportional to 277,533.86, 382,997.86 and 150,209.42

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Solution

The fourth proportional to 277,533.86, 382,997.86 and 150,209.42 is: 207,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,533.86 : 382,997.86 = 150,209.42 : x
  2. Step 2: Convert to fraction form
    277,533.86/382,997.86 = 150,209.42/x
  3. Step 3: Cross multiply
    277,533.86x = 382,997.86 × 150,209.42
  4. Step 4: Simplify right side
    277,533.86x = 57,529,886,411.84
  5. Step 5: Solve for x
    x = 57,529,886,411.84/277,533.86
  6. Step 6: Final answer
    x = 207,289.61

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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.