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Finding the Fourth Proportional to 395,506.44, 545,795.58 and 214,214.16

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Solution

The fourth proportional to 395,506.44, 545,795.58 and 214,214.16 is: 295,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,506.44 : 545,795.58 = 214,214.16 : x
  2. Step 2: Convert to fraction form
    395,506.44/545,795.58 = 214,214.16/x
  3. Step 3: Cross multiply
    395,506.44x = 545,795.58 × 214,214.16
  4. Step 4: Simplify right side
    395,506.44x = 116,917,141,701.41
  5. Step 5: Solve for x
    x = 116,917,141,701.41/395,506.44
  6. Step 6: Final answer
    x = 295,613.75

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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.