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Finding the Fourth Proportional to 355,459.38, 490,534.92 and 194,316.36

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Solution

The fourth proportional to 355,459.38, 490,534.92 and 194,316.36 is: 268,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,459.38 : 490,534.92 = 194,316.36 : x
  2. Step 2: Convert to fraction form
    355,459.38/490,534.92 = 194,316.36/x
  3. Step 3: Cross multiply
    355,459.38x = 490,534.92 × 194,316.36
  4. Step 4: Simplify right side
    355,459.38x = 95,318,960,107.29
  5. Step 5: Solve for x
    x = 95,318,960,107.29/355,459.38
  6. Step 6: Final answer
    x = 268,157.11

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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.