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Finding the Fourth Proportional to 412,337.44, 569,011.90 and 228,568.29

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Solution

The fourth proportional to 412,337.44, 569,011.90 and 228,568.29 is: 315,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,337.44 : 569,011.90 = 228,568.29 : x
  2. Step 2: Convert to fraction form
    412,337.44/569,011.90 = 228,568.29/x
  3. Step 3: Cross multiply
    412,337.44x = 569,011.90 × 228,568.29
  4. Step 4: Simplify right side
    412,337.44x = 130,058,076,972.65
  5. Step 5: Solve for x
    x = 130,058,076,972.65/412,337.44
  6. Step 6: Final answer
    x = 315,416.61

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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.