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Finding the Fourth Proportional to 424,197.24, 585,396.17 and 233,212

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Solution

The fourth proportional to 424,197.24, 585,396.17 and 233,212 is: 321,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,197.24 : 585,396.17 = 233,212 : x
  2. Step 2: Convert to fraction form
    424,197.24/585,396.17 = 233,212/x
  3. Step 3: Cross multiply
    424,197.24x = 585,396.17 × 233,212
  4. Step 4: Simplify right side
    424,197.24x = 136,521,411,598.04
  5. Step 5: Solve for x
    x = 136,521,411,598.04/424,197.24
  6. Step 6: Final answer
    x = 321,834.75

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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.