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Finding the Fourth Proportional to 335,166, 462,480.98 and 197,262.96

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Solution

The fourth proportional to 335,166, 462,480.98 and 197,262.96 is: 272,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,166 : 462,480.98 = 197,262.96 : x
  2. Step 2: Convert to fraction form
    335,166/462,480.98 = 197,262.96/x
  3. Step 3: Cross multiply
    335,166x = 462,480.98 × 197,262.96
  4. Step 4: Simplify right side
    335,166x = 91,230,367,058.50
  5. Step 5: Solve for x
    x = 91,230,367,058.50/335,166
  6. Step 6: Final answer
    x = 272,194.58

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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.