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Finding the Fourth Proportional to 460,015.60, 690,023.40 and 144,504.40

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Solution

The fourth proportional to 460,015.60, 690,023.40 and 144,504.40 is: 216,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,015.60 : 690,023.40 = 144,504.40 : x
  2. Step 2: Convert to fraction form
    460,015.60/690,023.40 = 144,504.40/x
  3. Step 3: Cross multiply
    460,015.60x = 690,023.40 × 144,504.40
  4. Step 4: Simplify right side
    460,015.60x = 99,711,417,402.96
  5. Step 5: Solve for x
    x = 99,711,417,402.96/460,015.60
  6. Step 6: Final answer
    x = 216,756.60

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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.