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Finding the Fourth Proportional to 410,650.42, 566,709.00 and 226,900.83

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Solution

The fourth proportional to 410,650.42, 566,709.00 and 226,900.83 is: 313,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,650.42 : 566,709.00 = 226,900.83 : x
  2. Step 2: Convert to fraction form
    410,650.42/566,709.00 = 226,900.83/x
  3. Step 3: Cross multiply
    410,650.42x = 566,709.00 × 226,900.83
  4. Step 4: Simplify right side
    410,650.42x = 128,586,742,469.49
  5. Step 5: Solve for x
    x = 128,586,742,469.49/410,650.42
  6. Step 6: Final answer
    x = 313,129.46

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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.