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Finding the Fourth Proportional to 424,362.63, 585,608.73 and 233,376

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Solution

The fourth proportional to 424,362.63, 585,608.73 and 233,376 is: 322,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,362.63 : 585,608.73 = 233,376 : x
  2. Step 2: Convert to fraction form
    424,362.63/585,608.73 = 233,376/x
  3. Step 3: Cross multiply
    424,362.63x = 585,608.73 × 233,376
  4. Step 4: Simplify right side
    424,362.63x = 136,667,022,972.48
  5. Step 5: Solve for x
    x = 136,667,022,972.48/424,362.63
  6. Step 6: Final answer
    x = 322,052.45

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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.