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Finding the Fourth Proportional to 412,623.86, 569,448.29 and 231,347.48

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Solution

The fourth proportional to 412,623.86, 569,448.29 and 231,347.48 is: 319,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,623.86 : 569,448.29 = 231,347.48 : x
  2. Step 2: Convert to fraction form
    412,623.86/569,448.29 = 231,347.48/x
  3. Step 3: Cross multiply
    412,623.86x = 569,448.29 × 231,347.48
  4. Step 4: Simplify right side
    412,623.86x = 131,740,424,612.94
  5. Step 5: Solve for x
    x = 131,740,424,612.94/412,623.86
  6. Step 6: Final answer
    x = 319,274.86

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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.