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Finding the Fourth Proportional to 298,027.77, 411,283.20 and 162,064.41

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Solution

The fourth proportional to 298,027.77, 411,283.20 and 162,064.41 is: 223,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,027.77 : 411,283.20 = 162,064.41 : x
  2. Step 2: Convert to fraction form
    298,027.77/411,283.20 = 162,064.41/x
  3. Step 3: Cross multiply
    298,027.77x = 411,283.20 × 162,064.41
  4. Step 4: Simplify right side
    298,027.77x = 66,654,369,150.91
  5. Step 5: Solve for x
    x = 66,654,369,150.91/298,027.77
  6. Step 6: Final answer
    x = 223,651.54

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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.