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Finding the Fourth Proportional to 355,986.98, 491,243.11 and 194,810.89

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Solution

The fourth proportional to 355,986.98, 491,243.11 and 194,810.89 is: 268,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,986.98 : 491,243.11 = 194,810.89 : x
  2. Step 2: Convert to fraction form
    355,986.98/491,243.11 = 194,810.89/x
  3. Step 3: Cross multiply
    355,986.98x = 491,243.11 × 194,810.89
  4. Step 4: Simplify right side
    355,986.98x = 95,699,507,465.47
  5. Step 5: Solve for x
    x = 95,699,507,465.47/355,986.98
  6. Step 6: Final answer
    x = 268,828.67

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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.