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Finding the Fourth Proportional to 602,082.23, 830,911.88 and 397,774.73

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Solution

The fourth proportional to 602,082.23, 830,911.88 and 397,774.73 is: 548,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,082.23 : 830,911.88 = 397,774.73 : x
  2. Step 2: Convert to fraction form
    602,082.23/830,911.88 = 397,774.73/x
  3. Step 3: Cross multiply
    602,082.23x = 830,911.88 × 397,774.73
  4. Step 4: Simplify right side
    602,082.23x = 330,515,751,792.51
  5. Step 5: Solve for x
    x = 330,515,751,792.51/602,082.23
  6. Step 6: Final answer
    x = 548,954.51

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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.