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Finding the Fourth Proportional to 462,738.96, 638,434.44 and 258,762.33

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Solution

The fourth proportional to 462,738.96, 638,434.44 and 258,762.33 is: 357,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,738.96 : 638,434.44 = 258,762.33 : x
  2. Step 2: Convert to fraction form
    462,738.96/638,434.44 = 258,762.33/x
  3. Step 3: Cross multiply
    462,738.96x = 638,434.44 × 258,762.33
  4. Step 4: Simplify right side
    462,738.96x = 165,202,783,246.65
  5. Step 5: Solve for x
    x = 165,202,783,246.65/462,738.96
  6. Step 6: Final answer
    x = 357,010.75

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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.