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Finding the Fourth Proportional to 298,852.85, 412,414.31 and 162,886.80

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Solution

The fourth proportional to 298,852.85, 412,414.31 and 162,886.80 is: 224,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,852.85 : 412,414.31 = 162,886.80 : x
  2. Step 2: Convert to fraction form
    298,852.85/412,414.31 = 162,886.80/x
  3. Step 3: Cross multiply
    298,852.85x = 412,414.31 × 162,886.80
  4. Step 4: Simplify right side
    298,852.85x = 67,176,846,415.67
  5. Step 5: Solve for x
    x = 67,176,846,415.67/298,852.85
  6. Step 6: Final answer
    x = 224,782.36

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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.