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Finding the Fourth Proportional to 395,849, 546,306.18 and 217,035.56

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Solution

The fourth proportional to 395,849, 546,306.18 and 217,035.56 is: 299,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,849 : 546,306.18 = 217,035.56 : x
  2. Step 2: Convert to fraction form
    395,849/546,306.18 = 217,035.56/x
  3. Step 3: Cross multiply
    395,849x = 546,306.18 × 217,035.56
  4. Step 4: Simplify right side
    395,849x = 118,567,867,707.76
  5. Step 5: Solve for x
    x = 118,567,867,707.76/395,849
  6. Step 6: Final answer
    x = 299,528.02

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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.