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Finding the Fourth Proportional to 428,965.08, 643,452.42 and 129,448.50

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Solution

The fourth proportional to 428,965.08, 643,452.42 and 129,448.50 is: 194,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,965.08 : 643,452.42 = 129,448.50 : x
  2. Step 2: Convert to fraction form
    428,965.08/643,452.42 = 129,448.50/x
  3. Step 3: Cross multiply
    428,965.08x = 643,452.42 × 129,448.50
  4. Step 4: Simplify right side
    428,965.08x = 83,293,950,590.37
  5. Step 5: Solve for x
    x = 83,293,950,590.37/428,965.08
  6. Step 6: Final answer
    x = 194,174.20

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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.