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Finding the Fourth Proportional to 277,698.77, 383,238.26 and 162,982.42

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Solution

The fourth proportional to 277,698.77, 383,238.26 and 162,982.42 is: 224,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.77 : 383,238.26 = 162,982.42 : x
  2. Step 2: Convert to fraction form
    277,698.77/383,238.26 = 162,982.42/x
  3. Step 3: Cross multiply
    277,698.77x = 383,238.26 × 162,982.42
  4. Step 4: Simplify right side
    277,698.77x = 62,461,097,809.02
  5. Step 5: Solve for x
    x = 62,461,097,809.02/277,698.77
  6. Step 6: Final answer
    x = 224,923.93

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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.