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Finding the Fourth Proportional to 461,664.40, 692,399.40 and 195,433.60

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Solution

The fourth proportional to 461,664.40, 692,399.40 and 195,433.60 is: 293,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,664.40 : 692,399.40 = 195,433.60 : x
  2. Step 2: Convert to fraction form
    461,664.40/692,399.40 = 195,433.60/x
  3. Step 3: Cross multiply
    461,664.40x = 692,399.40 × 195,433.60
  4. Step 4: Simplify right side
    461,664.40x = 135,318,107,379.84
  5. Step 5: Solve for x
    x = 135,318,107,379.84/461,664.40
  6. Step 6: Final answer
    x = 293,109.25

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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.