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Finding the Fourth Proportional to 357,885.81, 493,891.86 and 194,553.30

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Solution

The fourth proportional to 357,885.81, 493,891.86 and 194,553.30 is: 268,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,885.81 : 493,891.86 = 194,553.30 : x
  2. Step 2: Convert to fraction form
    357,885.81/493,891.86 = 194,553.30/x
  3. Step 3: Cross multiply
    357,885.81x = 493,891.86 × 194,553.30
  4. Step 4: Simplify right side
    357,885.81x = 96,088,291,206.14
  5. Step 5: Solve for x
    x = 96,088,291,206.14/357,885.81
  6. Step 6: Final answer
    x = 268,488.69

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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.