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Finding the Fourth Proportional to 424,239.84, 585,366.96 and 237,977.22

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Solution

The fourth proportional to 424,239.84, 585,366.96 and 237,977.22 is: 328,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,239.84 : 585,366.96 = 237,977.22 : x
  2. Step 2: Convert to fraction form
    424,239.84/585,366.96 = 237,977.22/x
  3. Step 3: Cross multiply
    424,239.84x = 585,366.96 × 237,977.22
  4. Step 4: Simplify right side
    424,239.84x = 139,304,001,820.65
  5. Step 5: Solve for x
    x = 139,304,001,820.65/424,239.84
  6. Step 6: Final answer
    x = 328,361.43

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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.