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Finding the Fourth Proportional to 460,589.58, 690,948.96 and 161,002.01

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Solution

The fourth proportional to 460,589.58, 690,948.96 and 161,002.01 is: 241,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,589.58 : 690,948.96 = 161,002.01 : x
  2. Step 2: Convert to fraction form
    460,589.58/690,948.96 = 161,002.01/x
  3. Step 3: Cross multiply
    460,589.58x = 690,948.96 × 161,002.01
  4. Step 4: Simplify right side
    460,589.58x = 111,244,174,181.99
  5. Step 5: Solve for x
    x = 111,244,174,181.99/460,589.58
  6. Step 6: Final answer
    x = 241,525.60

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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.