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Finding the Fourth Proportional to 334,704.01, 461,776.08 and 213,916

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Solution

The fourth proportional to 334,704.01, 461,776.08 and 213,916 is: 295,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,704.01 : 461,776.08 = 213,916 : x
  2. Step 2: Convert to fraction form
    334,704.01/461,776.08 = 213,916/x
  3. Step 3: Cross multiply
    334,704.01x = 461,776.08 × 213,916
  4. Step 4: Simplify right side
    334,704.01x = 98,781,290,859.70
  5. Step 5: Solve for x
    x = 98,781,290,859.70/334,704.01
  6. Step 6: Final answer
    x = 295,130.29

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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.