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Finding the Fourth Proportional to 357,954.22, 493,986.17 and 194,621.71

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Solution

The fourth proportional to 357,954.22, 493,986.17 and 194,621.71 is: 268,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,954.22 : 493,986.17 = 194,621.71 : x
  2. Step 2: Convert to fraction form
    357,954.22/493,986.17 = 194,621.71/x
  3. Step 3: Cross multiply
    357,954.22x = 493,986.17 × 194,621.71
  4. Step 4: Simplify right side
    357,954.22x = 96,140,432,373.34
  5. Step 5: Solve for x
    x = 96,140,432,373.34/357,954.22
  6. Step 6: Final answer
    x = 268,583.04

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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.