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Finding the Fourth Proportional to 460,588.28, 690,040.42 and 333,914.81

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Solution

The fourth proportional to 460,588.28, 690,040.42 and 333,914.81 is: 500,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,588.28 : 690,040.42 = 333,914.81 : x
  2. Step 2: Convert to fraction form
    460,588.28/690,040.42 = 333,914.81/x
  3. Step 3: Cross multiply
    460,588.28x = 690,040.42 × 333,914.81
  4. Step 4: Simplify right side
    460,588.28x = 230,414,711,451.63
  5. Step 5: Solve for x
    x = 230,414,711,451.63/460,588.28
  6. Step 6: Final answer
    x = 500,261.78

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Why These Related Problems?

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