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Finding the Fourth Proportional to 345,698.44, 477,046.74 and 194,805.16

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Solution

The fourth proportional to 345,698.44, 477,046.74 and 194,805.16 is: 268,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,698.44 : 477,046.74 = 194,805.16 : x
  2. Step 2: Convert to fraction form
    345,698.44/477,046.74 = 194,805.16/x
  3. Step 3: Cross multiply
    345,698.44x = 477,046.74 × 194,805.16
  4. Step 4: Simplify right side
    345,698.44x = 92,931,166,513.18
  5. Step 5: Solve for x
    x = 92,931,166,513.18/345,698.44
  6. Step 6: Final answer
    x = 268,821.48

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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.