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Finding the Fourth Proportional to 357,315.64, 493,096.50 and 196,181.08

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Solution

The fourth proportional to 357,315.64, 493,096.50 and 196,181.08 is: 270,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,315.64 : 493,096.50 = 196,181.08 : x
  2. Step 2: Convert to fraction form
    357,315.64/493,096.50 = 196,181.08/x
  3. Step 3: Cross multiply
    357,315.64x = 493,096.50 × 196,181.08
  4. Step 4: Simplify right side
    357,315.64x = 96,736,203,914.22
  5. Step 5: Solve for x
    x = 96,736,203,914.22/357,315.64
  6. Step 6: Final answer
    x = 270,730.39

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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.