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Finding the Fourth Proportional to 410,102.46, 566,221.23 and 265,259.34

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Solution

The fourth proportional to 410,102.46, 566,221.23 and 265,259.34 is: 366,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,102.46 : 566,221.23 = 265,259.34 : x
  2. Step 2: Convert to fraction form
    410,102.46/566,221.23 = 265,259.34/x
  3. Step 3: Cross multiply
    410,102.46x = 566,221.23 × 265,259.34
  4. Step 4: Simplify right side
    410,102.46x = 150,195,469,763.79
  5. Step 5: Solve for x
    x = 150,195,469,763.79/410,102.46
  6. Step 6: Final answer
    x = 366,238.89

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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.