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Finding the Fourth Proportional to 424,142.25, 585,317.52 and 242,856.96

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Solution

The fourth proportional to 424,142.25, 585,317.52 and 242,856.96 is: 335,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,142.25 : 585,317.52 = 242,856.96 : x
  2. Step 2: Convert to fraction form
    424,142.25/585,317.52 = 242,856.96/x
  3. Step 3: Cross multiply
    424,142.25x = 585,317.52 × 242,856.96
  4. Step 4: Simplify right side
    424,142.25x = 142,148,433,541.94
  5. Step 5: Solve for x
    x = 142,148,433,541.94/424,142.25
  6. Step 6: Final answer
    x = 335,143.30

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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.