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Finding the Fourth Proportional to 382,871.33, 528,342.37 and 210,755.68

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Solution

The fourth proportional to 382,871.33, 528,342.37 and 210,755.68 is: 290,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,871.33 : 528,342.37 = 210,755.68 : x
  2. Step 2: Convert to fraction form
    382,871.33/528,342.37 = 210,755.68/x
  3. Step 3: Cross multiply
    382,871.33x = 528,342.37 × 210,755.68
  4. Step 4: Simplify right side
    382,871.33x = 111,351,155,462.16
  5. Step 5: Solve for x
    x = 111,351,155,462.16/382,871.33
  6. Step 6: Final answer
    x = 290,831.79

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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.