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Finding the Fourth Proportional to 405,538.20, 608,652.90 and 181,243.80

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Solution

The fourth proportional to 405,538.20, 608,652.90 and 181,243.80 is: 272,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,538.20 : 608,652.90 = 181,243.80 : x
  2. Step 2: Convert to fraction form
    405,538.20/608,652.90 = 181,243.80/x
  3. Step 3: Cross multiply
    405,538.20x = 608,652.90 × 181,243.80
  4. Step 4: Simplify right side
    405,538.20x = 110,314,564,477.02
  5. Step 5: Solve for x
    x = 110,314,564,477.02/405,538.20
  6. Step 6: Final answer
    x = 272,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.