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Finding the Fourth Proportional to 334,004.41, 460,975.33 and 211,507.97

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Solution

The fourth proportional to 334,004.41, 460,975.33 and 211,507.97 is: 291,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,004.41 : 460,975.33 = 211,507.97 : x
  2. Step 2: Convert to fraction form
    334,004.41/460,975.33 = 211,507.97/x
  3. Step 3: Cross multiply
    334,004.41x = 460,975.33 × 211,507.97
  4. Step 4: Simplify right side
    334,004.41x = 97,499,956,268.38
  5. Step 5: Solve for x
    x = 97,499,956,268.38/334,004.41
  6. Step 6: Final answer
    x = 291,912.18

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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.