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Finding the Fourth Proportional to 357,496.98, 493,351.76 and 196,366.92

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Solution

The fourth proportional to 357,496.98, 493,351.76 and 196,366.92 is: 270,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,496.98 : 493,351.76 = 196,366.92 : x
  2. Step 2: Convert to fraction form
    357,496.98/493,351.76 = 196,366.92/x
  3. Step 3: Cross multiply
    357,496.98x = 493,351.76 × 196,366.92
  4. Step 4: Simplify right side
    357,496.98x = 96,877,965,587.78
  5. Step 5: Solve for x
    x = 96,877,965,587.78/357,496.98
  6. Step 6: Final answer
    x = 270,989.61

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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.