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Finding the Fourth Proportional to 395,076, 545,204.88 and 216,228

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Solution

The fourth proportional to 395,076, 545,204.88 and 216,228 is: 298,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,076 : 545,204.88 = 216,228 : x
  2. Step 2: Convert to fraction form
    395,076/545,204.88 = 216,228/x
  3. Step 3: Cross multiply
    395,076x = 545,204.88 × 216,228
  4. Step 4: Simplify right side
    395,076x = 117,888,560,792.64
  5. Step 5: Solve for x
    x = 117,888,560,792.64/395,076
  6. Step 6: Final answer
    x = 298,394.64

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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.