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Finding the Fourth Proportional to 357,892.38, 493,900.94 and 194,559.87

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Solution

The fourth proportional to 357,892.38, 493,900.94 and 194,559.87 is: 268,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892.38 : 493,900.94 = 194,559.87 : x
  2. Step 2: Convert to fraction form
    357,892.38/493,900.94 = 194,559.87/x
  3. Step 3: Cross multiply
    357,892.38x = 493,900.94 × 194,559.87
  4. Step 4: Simplify right side
    357,892.38x = 96,093,302,679.28
  5. Step 5: Solve for x
    x = 96,093,302,679.28/357,892.38
  6. Step 6: Final answer
    x = 268,497.76

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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.