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Finding the Fourth Proportional to 412,516.80, 569,299.49 and 231,228.78

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Solution

The fourth proportional to 412,516.80, 569,299.49 and 231,228.78 is: 319,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,516.80 : 569,299.49 = 231,228.78 : x
  2. Step 2: Convert to fraction form
    412,516.80/569,299.49 = 231,228.78/x
  3. Step 3: Cross multiply
    412,516.80x = 569,299.49 × 231,228.78
  4. Step 4: Simplify right side
    412,516.80x = 131,638,426,527.32
  5. Step 5: Solve for x
    x = 131,638,426,527.32/412,516.80
  6. Step 6: Final answer
    x = 319,110.46

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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.