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Finding the Fourth Proportional to 460,241.31, 690,470.63 and 144,698.22

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Solution

The fourth proportional to 460,241.31, 690,470.63 and 144,698.22 is: 217,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,241.31 : 690,470.63 = 144,698.22 : x
  2. Step 2: Convert to fraction form
    460,241.31/690,470.63 = 144,698.22/x
  3. Step 3: Cross multiply
    460,241.31x = 690,470.63 × 144,698.22
  4. Step 4: Simplify right side
    460,241.31x = 99,909,871,756.33
  5. Step 5: Solve for x
    x = 99,909,871,756.33/460,241.31
  6. Step 6: Final answer
    x = 217,081.49

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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.