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Finding the Fourth Proportional to 344,949.90, 476,030.07 and 194,046.90

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Solution

The fourth proportional to 344,949.90, 476,030.07 and 194,046.90 is: 267,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,949.90 : 476,030.07 = 194,046.90 : x
  2. Step 2: Convert to fraction form
    344,949.90/476,030.07 = 194,046.90/x
  3. Step 3: Cross multiply
    344,949.90x = 476,030.07 × 194,046.90
  4. Step 4: Simplify right side
    344,949.90x = 92,372,159,390.28
  5. Step 5: Solve for x
    x = 92,372,159,390.28/344,949.90
  6. Step 6: Final answer
    x = 267,784.28

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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.