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Finding the Fourth Proportional to 395,544.92, 545,852.65 and 214,258.34

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Solution

The fourth proportional to 395,544.92, 545,852.65 and 214,258.34 is: 295,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,544.92 : 545,852.65 = 214,258.34 : x
  2. Step 2: Convert to fraction form
    395,544.92/545,852.65 = 214,258.34/x
  3. Step 3: Cross multiply
    395,544.92x = 545,852.65 × 214,258.34
  4. Step 4: Simplify right side
    395,544.92x = 116,953,481,766.51
  5. Step 5: Solve for x
    x = 116,953,481,766.51/395,544.92
  6. Step 6: Final answer
    x = 295,676.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.