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Finding the Fourth Proportional to 424,213.98, 585,416.79 and 233,239.38

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Solution

The fourth proportional to 424,213.98, 585,416.79 and 233,239.38 is: 321,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,213.98 : 585,416.79 = 233,239.38 : x
  2. Step 2: Convert to fraction form
    424,213.98/585,416.79 = 233,239.38/x
  3. Step 3: Cross multiply
    424,213.98x = 585,416.79 × 233,239.38
  4. Step 4: Simplify right side
    424,213.98x = 136,542,249,141.19
  5. Step 5: Solve for x
    x = 136,542,249,141.19/424,213.98
  6. Step 6: Final answer
    x = 321,871.17

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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.