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Finding the Fourth Proportional to 420,506.67, 580,290.03 and 229,523.25

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Solution

The fourth proportional to 420,506.67, 580,290.03 and 229,523.25 is: 316,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,506.67 : 580,290.03 = 229,523.25 : x
  2. Step 2: Convert to fraction form
    420,506.67/580,290.03 = 229,523.25/x
  3. Step 3: Cross multiply
    420,506.67x = 580,290.03 × 229,523.25
  4. Step 4: Simplify right side
    420,506.67x = 133,190,053,628.20
  5. Step 5: Solve for x
    x = 133,190,053,628.20/420,506.67
  6. Step 6: Final answer
    x = 316,737.08

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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.