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Finding the Fourth Proportional to 253,594.41, 380,391.75 and 206,152.98

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Solution

The fourth proportional to 253,594.41, 380,391.75 and 206,152.98 is: 309,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,594.41 : 380,391.75 = 206,152.98 : x
  2. Step 2: Convert to fraction form
    253,594.41/380,391.75 = 206,152.98/x
  3. Step 3: Cross multiply
    253,594.41x = 380,391.75 × 206,152.98
  4. Step 4: Simplify right side
    253,594.41x = 78,418,892,829.92
  5. Step 5: Solve for x
    x = 78,418,892,829.92/253,594.41
  6. Step 6: Final answer
    x = 309,229.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.