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Finding the Fourth Proportional to 270,665.19, 406,038.78 and 196,346.15

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Solution

The fourth proportional to 270,665.19, 406,038.78 and 196,346.15 is: 294,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,665.19 : 406,038.78 = 196,346.15 : x
  2. Step 2: Convert to fraction form
    270,665.19/406,038.78 = 196,346.15/x
  3. Step 3: Cross multiply
    270,665.19x = 406,038.78 × 196,346.15
  4. Step 4: Simplify right side
    270,665.19x = 79,724,149,173.50
  5. Step 5: Solve for x
    x = 79,724,149,173.50/270,665.19
  6. Step 6: Final answer
    x = 294,548.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.