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Finding the Fourth Proportional to 261,596.70, 360,893.34 and 164,628.78

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Solution

The fourth proportional to 261,596.70, 360,893.34 and 164,628.78 is: 227,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,596.70 : 360,893.34 = 164,628.78 : x
  2. Step 2: Convert to fraction form
    261,596.70/360,893.34 = 164,628.78/x
  3. Step 3: Cross multiply
    261,596.70x = 360,893.34 × 164,628.78
  4. Step 4: Simplify right side
    261,596.70x = 59,413,430,274.33
  5. Step 5: Solve for x
    x = 59,413,430,274.33/261,596.70
  6. Step 6: Final answer
    x = 227,118.42

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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.