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Finding the Fourth Proportional to 424,186.60, 585,369.38 and 233,198.12

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Solution

The fourth proportional to 424,186.60, 585,369.38 and 233,198.12 is: 321,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,186.60 : 585,369.38 = 233,198.12 : x
  2. Step 2: Convert to fraction form
    424,186.60/585,369.38 = 233,198.12/x
  3. Step 3: Cross multiply
    424,186.60x = 585,369.38 × 233,198.12
  4. Step 4: Simplify right side
    424,186.60x = 136,507,038,921.57
  5. Step 5: Solve for x
    x = 136,507,038,921.57/424,186.60
  6. Step 6: Final answer
    x = 321,808.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.