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Finding the Fourth Proportional to 412,846.89, 569,683.16 and 231,521.51

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Solution

The fourth proportional to 412,846.89, 569,683.16 and 231,521.51 is: 319,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,846.89 : 569,683.16 = 231,521.51 : x
  2. Step 2: Convert to fraction form
    412,846.89/569,683.16 = 231,521.51/x
  3. Step 3: Cross multiply
    412,846.89x = 569,683.16 × 231,521.51
  4. Step 4: Simplify right side
    412,846.89x = 131,893,901,418.75
  5. Step 5: Solve for x
    x = 131,893,901,418.75/412,846.89
  6. Step 6: Final answer
    x = 319,474.13

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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.