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Finding the Fourth Proportional to 395,262.25, 545,461.29 and 213,974.15

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Solution

The fourth proportional to 395,262.25, 545,461.29 and 213,974.15 is: 295,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,262.25 : 545,461.29 = 213,974.15 : x
  2. Step 2: Convert to fraction form
    395,262.25/545,461.29 = 213,974.15/x
  3. Step 3: Cross multiply
    395,262.25x = 545,461.29 × 213,974.15
  4. Step 4: Simplify right side
    395,262.25x = 116,714,613,158.35
  5. Step 5: Solve for x
    x = 116,714,613,158.35/395,262.25
  6. Step 6: Final answer
    x = 295,283.99

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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.