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Finding the Fourth Proportional to 394,409.16, 544,284.66 and 215,561.16

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Solution

The fourth proportional to 394,409.16, 544,284.66 and 215,561.16 is: 297,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,409.16 : 544,284.66 = 215,561.16 : x
  2. Step 2: Convert to fraction form
    394,409.16/544,284.66 = 215,561.16/x
  3. Step 3: Cross multiply
    394,409.16x = 544,284.66 × 215,561.16
  4. Step 4: Simplify right side
    394,409.16x = 117,326,632,679.81
  5. Step 5: Solve for x
    x = 117,326,632,679.81/394,409.16
  6. Step 6: Final answer
    x = 297,474.41

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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.