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Finding the Fourth Proportional to 357,760.44, 493,601.64 and 214,468.20

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Solution

The fourth proportional to 357,760.44, 493,601.64 and 214,468.20 is: 295,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,760.44 : 493,601.64 = 214,468.20 : x
  2. Step 2: Convert to fraction form
    357,760.44/493,601.64 = 214,468.20/x
  3. Step 3: Cross multiply
    357,760.44x = 493,601.64 × 214,468.20
  4. Step 4: Simplify right side
    357,760.44x = 105,861,855,247.85
  5. Step 5: Solve for x
    x = 105,861,855,247.85/357,760.44
  6. Step 6: Final answer
    x = 295,901.51

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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.