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Finding the Fourth Proportional to 424,402.89, 585,680.88 and 233,419.47

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Solution

The fourth proportional to 424,402.89, 585,680.88 and 233,419.47 is: 322,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,402.89 : 585,680.88 = 233,419.47 : x
  2. Step 2: Convert to fraction form
    424,402.89/585,680.88 = 233,419.47/x
  3. Step 3: Cross multiply
    424,402.89x = 585,680.88 × 233,419.47
  4. Step 4: Simplify right side
    424,402.89x = 136,709,320,598.73
  5. Step 5: Solve for x
    x = 136,709,320,598.73/424,402.89
  6. Step 6: Final answer
    x = 322,121.56

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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.