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Finding the Fourth Proportional to 412,509.16, 569,297.46 and 231,218.20

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Solution

The fourth proportional to 412,509.16, 569,297.46 and 231,218.20 is: 319,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,509.16 : 569,297.46 = 231,218.20 : x
  2. Step 2: Convert to fraction form
    412,509.16/569,297.46 = 231,218.20/x
  3. Step 3: Cross multiply
    412,509.16x = 569,297.46 × 231,218.20
  4. Step 4: Simplify right side
    412,509.16x = 131,631,933,965.77
  5. Step 5: Solve for x
    x = 131,631,933,965.77/412,509.16
  6. Step 6: Final answer
    x = 319,100.63

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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.