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Finding the Fourth Proportional to 424,566.68, 585,902.02 and 233,576

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Solution

The fourth proportional to 424,566.68, 585,902.02 and 233,576 is: 322,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,566.68 : 585,902.02 = 233,576 : x
  2. Step 2: Convert to fraction form
    424,566.68/585,902.02 = 233,576/x
  3. Step 3: Cross multiply
    424,566.68x = 585,902.02 × 233,576
  4. Step 4: Simplify right side
    424,566.68x = 136,852,650,223.52
  5. Step 5: Solve for x
    x = 136,852,650,223.52/424,566.68
  6. Step 6: Final answer
    x = 322,334.88

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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.