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Finding the Fourth Proportional to 460,099.50, 690,260.01 and 144,556.29

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Solution

The fourth proportional to 460,099.50, 690,260.01 and 144,556.29 is: 216,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,099.50 : 690,260.01 = 144,556.29 : x
  2. Step 2: Convert to fraction form
    460,099.50/690,260.01 = 144,556.29/x
  3. Step 3: Cross multiply
    460,099.50x = 690,260.01 × 144,556.29
  4. Step 4: Simplify right side
    460,099.50x = 99,781,426,180.96
  5. Step 5: Solve for x
    x = 99,781,426,180.96/460,099.50
  6. Step 6: Final answer
    x = 216,869.23

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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.