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Finding the Fourth Proportional to 462,640.86, 638,806.23 and 355,040.46

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Solution

The fourth proportional to 462,640.86, 638,806.23 and 355,040.46 is: 490,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,640.86 : 638,806.23 = 355,040.46 : x
  2. Step 2: Convert to fraction form
    462,640.86/638,806.23 = 355,040.46/x
  3. Step 3: Cross multiply
    462,640.86x = 638,806.23 × 355,040.46
  4. Step 4: Simplify right side
    462,640.86x = 226,802,057,750.07
  5. Step 5: Solve for x
    x = 226,802,057,750.07/462,640.86
  6. Step 6: Final answer
    x = 490,233.52

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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.