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Finding the Fourth Proportional to 424,142.60, 585,301.98 and 233,154.62

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Solution

The fourth proportional to 424,142.60, 585,301.98 and 233,154.62 is: 321,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,142.60 : 585,301.98 = 233,154.62 : x
  2. Step 2: Convert to fraction form
    424,142.60/585,301.98 = 233,154.62/x
  3. Step 3: Cross multiply
    424,142.60x = 585,301.98 × 233,154.62
  4. Step 4: Simplify right side
    424,142.60x = 136,465,860,732.15
  5. Step 5: Solve for x
    x = 136,465,860,732.15/424,142.60
  6. Step 6: Final answer
    x = 321,745.24

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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.