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Finding the Fourth Proportional to 424,340.28, 585,573.30 and 233,342.28

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Solution

The fourth proportional to 424,340.28, 585,573.30 and 233,342.28 is: 322,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,340.28 : 585,573.30 = 233,342.28 : x
  2. Step 2: Convert to fraction form
    424,340.28/585,573.30 = 233,342.28/x
  3. Step 3: Cross multiply
    424,340.28x = 585,573.30 × 233,342.28
  4. Step 4: Simplify right side
    424,340.28x = 136,639,008,929.12
  5. Step 5: Solve for x
    x = 136,639,008,929.12/424,340.28
  6. Step 6: Final answer
    x = 322,003.39

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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.