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Finding the Fourth Proportional to 393,867.46, 543,534.33 and 215,019.46

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Solution

The fourth proportional to 393,867.46, 543,534.33 and 215,019.46 is: 296,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,867.46 : 543,534.33 = 215,019.46 : x
  2. Step 2: Convert to fraction form
    393,867.46/543,534.33 = 215,019.46/x
  3. Step 3: Cross multiply
    393,867.46x = 543,534.33 × 215,019.46
  4. Step 4: Simplify right side
    393,867.46x = 116,870,458,128.06
  5. Step 5: Solve for x
    x = 116,870,458,128.06/393,867.46
  6. Step 6: Final answer
    x = 296,725.35

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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.