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Finding the Fourth Proportional to 410,653.43, 566,713.14 and 226,903.83

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Solution

The fourth proportional to 410,653.43, 566,713.14 and 226,903.83 is: 313,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,653.43 : 566,713.14 = 226,903.83 : x
  2. Step 2: Convert to fraction form
    410,653.43/566,713.14 = 226,903.83/x
  3. Step 3: Cross multiply
    410,653.43x = 566,713.14 × 226,903.83
  4. Step 4: Simplify right side
    410,653.43x = 128,589,381,977.33
  5. Step 5: Solve for x
    x = 128,589,381,977.33/410,653.43
  6. Step 6: Final answer
    x = 313,133.59

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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.