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Finding the Fourth Proportional to 297,445.49, 410,322.67 and 189,902.46

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Solution

The fourth proportional to 297,445.49, 410,322.67 and 189,902.46 is: 261,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,445.49 : 410,322.67 = 189,902.46 : x
  2. Step 2: Convert to fraction form
    297,445.49/410,322.67 = 189,902.46/x
  3. Step 3: Cross multiply
    297,445.49x = 410,322.67 × 189,902.46
  4. Step 4: Simplify right side
    297,445.49x = 77,921,284,426.77
  5. Step 5: Solve for x
    x = 77,921,284,426.77/297,445.49
  6. Step 6: Final answer
    x = 261,968.28

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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.