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Finding the Fourth Proportional to 424,104.90, 585,265.19 and 233,114.19

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Solution

The fourth proportional to 424,104.90, 585,265.19 and 233,114.19 is: 321,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,104.90 : 585,265.19 = 233,114.19 : x
  2. Step 2: Convert to fraction form
    424,104.90/585,265.19 = 233,114.19/x
  3. Step 3: Cross multiply
    424,104.90x = 585,265.19 × 233,114.19
  4. Step 4: Simplify right side
    424,104.90x = 136,433,620,702.05
  5. Step 5: Solve for x
    x = 136,433,620,702.05/424,104.90
  6. Step 6: Final answer
    x = 321,697.82

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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.