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Finding the Fourth Proportional to 643,471.40, 965,207.10 and 407,858.60

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Solution

The fourth proportional to 643,471.40, 965,207.10 and 407,858.60 is: 611,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,471.40 : 965,207.10 = 407,858.60 : x
  2. Step 2: Convert to fraction form
    643,471.40/965,207.10 = 407,858.60/x
  3. Step 3: Cross multiply
    643,471.40x = 965,207.10 × 407,858.60
  4. Step 4: Simplify right side
    643,471.40x = 393,668,016,516.06
  5. Step 5: Solve for x
    x = 393,668,016,516.06/643,471.40
  6. Step 6: Final answer
    x = 611,787.90

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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.