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Finding the Fourth Proportional to 460,187.96, 690,282.42 and 144,672.44

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Solution

The fourth proportional to 460,187.96, 690,282.42 and 144,672.44 is: 217,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,187.96 : 690,282.42 = 144,672.44 : x
  2. Step 2: Convert to fraction form
    460,187.96/690,282.42 = 144,672.44/x
  3. Step 3: Cross multiply
    460,187.96x = 690,282.42 × 144,672.44
  4. Step 4: Simplify right side
    460,187.96x = 99,864,841,990.50
  5. Step 5: Solve for x
    x = 99,864,841,990.50/460,187.96
  6. Step 6: Final answer
    x = 217,008.81

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