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Finding the Fourth Proportional to 357,484.32, 493,328.07 and 196,343.73

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Solution

The fourth proportional to 357,484.32, 493,328.07 and 196,343.73 is: 270,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,484.32 : 493,328.07 = 196,343.73 : x
  2. Step 2: Convert to fraction form
    357,484.32/493,328.07 = 196,343.73/x
  3. Step 3: Cross multiply
    357,484.32x = 493,328.07 × 196,343.73
  4. Step 4: Simplify right side
    357,484.32x = 96,861,873,377.50
  5. Step 5: Solve for x
    x = 96,861,873,377.50/357,484.32
  6. Step 6: Final answer
    x = 270,954.19

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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.