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Finding the Fourth Proportional to 460,589.28, 690,971.40 and 161,154.96

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Solution

The fourth proportional to 460,589.28, 690,971.40 and 161,154.96 is: 241,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,589.28 : 690,971.40 = 161,154.96 : x
  2. Step 2: Convert to fraction form
    460,589.28/690,971.40 = 161,154.96/x
  3. Step 3: Cross multiply
    460,589.28x = 690,971.40 × 161,154.96
  4. Step 4: Simplify right side
    460,589.28x = 111,353,468,328.14
  5. Step 5: Solve for x
    x = 111,353,468,328.14/460,589.28
  6. Step 6: Final answer
    x = 241,763.05

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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.