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Finding the Fourth Proportional to 412,353.06, 569,049.21 and 269,028.42

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Solution

The fourth proportional to 412,353.06, 569,049.21 and 269,028.42 is: 371,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,353.06 : 569,049.21 = 269,028.42 : x
  2. Step 2: Convert to fraction form
    412,353.06/569,049.21 = 269,028.42/x
  3. Step 3: Cross multiply
    412,353.06x = 569,049.21 × 269,028.42
  4. Step 4: Simplify right side
    412,353.06x = 153,090,409,868.55
  5. Step 5: Solve for x
    x = 153,090,409,868.55/412,353.06
  6. Step 6: Final answer
    x = 371,260.52

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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.