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Finding the Fourth Proportional to 460,096.40, 690,166.20 and 144,563.60

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Solution

The fourth proportional to 460,096.40, 690,166.20 and 144,563.60 is: 216,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,096.40 : 690,166.20 = 144,563.60 : x
  2. Step 2: Convert to fraction form
    460,096.40/690,166.20 = 144,563.60/x
  3. Step 3: Cross multiply
    460,096.40x = 690,166.20 × 144,563.60
  4. Step 4: Simplify right side
    460,096.40x = 99,772,910,470.32
  5. Step 5: Solve for x
    x = 99,772,910,470.32/460,096.40
  6. Step 6: Final answer
    x = 216,852.19

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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.