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Finding the Fourth Proportional to 334,700.98, 461,771.90 and 213,912.97

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Solution

The fourth proportional to 334,700.98, 461,771.90 and 213,912.97 is: 295,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,700.98 : 461,771.90 = 213,912.97 : x
  2. Step 2: Convert to fraction form
    334,700.98/461,771.90 = 213,912.97/x
  3. Step 3: Cross multiply
    334,700.98x = 461,771.90 × 213,912.97
  4. Step 4: Simplify right side
    334,700.98x = 98,778,997,169.72
  5. Step 5: Solve for x
    x = 98,778,997,169.72/334,700.98
  6. Step 6: Final answer
    x = 295,126.11

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1.5x scale

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.