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Finding the Fourth Proportional to 420,559.36, 580,364.49 and 239,267.40

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Solution

The fourth proportional to 420,559.36, 580,364.49 and 239,267.40 is: 330,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,559.36 : 580,364.49 = 239,267.40 : x
  2. Step 2: Convert to fraction form
    420,559.36/580,364.49 = 239,267.40/x
  3. Step 3: Cross multiply
    420,559.36x = 580,364.49 × 239,267.40
  4. Step 4: Simplify right side
    420,559.36x = 138,862,301,821.75
  5. Step 5: Solve for x
    x = 138,862,301,821.75/420,559.36
  6. Step 6: Final answer
    x = 330,184.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.