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Finding the Fourth Proportional to 410,650.14, 566,708.62 and 226,900.55

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Solution

The fourth proportional to 410,650.14, 566,708.62 and 226,900.55 is: 313,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,650.14 : 566,708.62 = 226,900.55 : x
  2. Step 2: Convert to fraction form
    410,650.14/566,708.62 = 226,900.55/x
  3. Step 3: Cross multiply
    410,650.14x = 566,708.62 × 226,900.55
  4. Step 4: Simplify right side
    410,650.14x = 128,586,494,977.11
  5. Step 5: Solve for x
    x = 128,586,494,977.11/410,650.14
  6. Step 6: Final answer
    x = 313,129.07

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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.