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Finding the Fourth Proportional to 415,973.07, 574,042.95 and 234,723.42

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Solution

The fourth proportional to 415,973.07, 574,042.95 and 234,723.42 is: 323,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,973.07 : 574,042.95 = 234,723.42 : x
  2. Step 2: Convert to fraction form
    415,973.07/574,042.95 = 234,723.42/x
  3. Step 3: Cross multiply
    415,973.07x = 574,042.95 × 234,723.42
  4. Step 4: Simplify right side
    415,973.07x = 134,741,324,450.89
  5. Step 5: Solve for x
    x = 134,741,324,450.89/415,973.07
  6. Step 6: Final answer
    x = 323,918.38

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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.