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Finding the Fourth Proportional to 591,980.64, 816,942.24 and 337,326.40

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Solution

The fourth proportional to 591,980.64, 816,942.24 and 337,326.40 is: 465,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,980.64 : 816,942.24 = 337,326.40 : x
  2. Step 2: Convert to fraction form
    591,980.64/816,942.24 = 337,326.40/x
  3. Step 3: Cross multiply
    591,980.64x = 816,942.24 × 337,326.40
  4. Step 4: Simplify right side
    591,980.64x = 275,576,184,827.14
  5. Step 5: Solve for x
    x = 275,576,184,827.14/591,980.64
  6. Step 6: Final answer
    x = 465,515.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.