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Finding the Fourth Proportional to 430,494.30, 594,082.44 and 239,507.82

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Solution

The fourth proportional to 430,494.30, 594,082.44 and 239,507.82 is: 330,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,494.30 : 594,082.44 = 239,507.82 : x
  2. Step 2: Convert to fraction form
    430,494.30/594,082.44 = 239,507.82/x
  3. Step 3: Cross multiply
    430,494.30x = 594,082.44 × 239,507.82
  4. Step 4: Simplify right side
    430,494.30x = 142,287,390,104.68
  5. Step 5: Solve for x
    x = 142,287,390,104.68/430,494.30
  6. Step 6: Final answer
    x = 330,520.96

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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.