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Finding the Fourth Proportional to 344,947, 476,026.74 and 194,044

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Solution

The fourth proportional to 344,947, 476,026.74 and 194,044 is: 267,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,947 : 476,026.74 = 194,044 : x
  2. Step 2: Convert to fraction form
    344,947/476,026.74 = 194,044/x
  3. Step 3: Cross multiply
    344,947x = 476,026.74 × 194,044
  4. Step 4: Simplify right side
    344,947x = 92,370,132,736.56
  5. Step 5: Solve for x
    x = 92,370,132,736.56/344,947
  6. Step 6: Final answer
    x = 267,780.65

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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.