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Finding the Fourth Proportional to 414,193.70, 620,539.68 and 189,741.89

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Solution

The fourth proportional to 414,193.70, 620,539.68 and 189,741.89 is: 284,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,193.70 : 620,539.68 = 189,741.89 : x
  2. Step 2: Convert to fraction form
    414,193.70/620,539.68 = 189,741.89/x
  3. Step 3: Cross multiply
    414,193.70x = 620,539.68 × 189,741.89
  4. Step 4: Simplify right side
    414,193.70x = 117,742,373,966.08
  5. Step 5: Solve for x
    x = 117,742,373,966.08/414,193.70
  6. Step 6: Final answer
    x = 284,268.87

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Why These Related Problems?

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