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Finding the Fourth Proportional to 277,852.91, 383,454.70 and 170,408.32

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Solution

The fourth proportional to 277,852.91, 383,454.70 and 170,408.32 is: 235,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.91 : 383,454.70 = 170,408.32 : x
  2. Step 2: Convert to fraction form
    277,852.91/383,454.70 = 170,408.32/x
  3. Step 3: Cross multiply
    277,852.91x = 383,454.70 × 170,408.32
  4. Step 4: Simplify right side
    277,852.91x = 65,343,869,838.45
  5. Step 5: Solve for x
    x = 65,343,869,838.45/277,852.91
  6. Step 6: Final answer
    x = 235,174.33

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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.