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Finding the Fourth Proportional to 357,786.16, 493,756.72 and 196,646.92

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Solution

The fourth proportional to 357,786.16, 493,756.72 and 196,646.92 is: 271,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,786.16 : 493,756.72 = 196,646.92 : x
  2. Step 2: Convert to fraction form
    357,786.16/493,756.72 = 196,646.92/x
  3. Step 3: Cross multiply
    357,786.16x = 493,756.72 × 196,646.92
  4. Step 4: Simplify right side
    357,786.16x = 97,095,738,217.30
  5. Step 5: Solve for x
    x = 97,095,738,217.30/357,786.16
  6. Step 6: Final answer
    x = 271,379.25

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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.