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Finding the Fourth Proportional to 412,526.77, 569,313.23 and 231,238.78

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Solution

The fourth proportional to 412,526.77, 569,313.23 and 231,238.78 is: 319,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,526.77 : 569,313.23 = 231,238.78 : x
  2. Step 2: Convert to fraction form
    412,526.77/569,313.23 = 231,238.78/x
  3. Step 3: Cross multiply
    412,526.77x = 569,313.23 × 231,238.78
  4. Step 4: Simplify right side
    412,526.77x = 131,647,297,321.16
  5. Step 5: Solve for x
    x = 131,647,297,321.16/412,526.77
  6. Step 6: Final answer
    x = 319,124.25

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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.