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Finding the Fourth Proportional to 345,702.44, 477,052.26 and 194,809.16

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Solution

The fourth proportional to 345,702.44, 477,052.26 and 194,809.16 is: 268,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,702.44 : 477,052.26 = 194,809.16 : x
  2. Step 2: Convert to fraction form
    345,702.44/477,052.26 = 194,809.16/x
  3. Step 3: Cross multiply
    345,702.44x = 477,052.26 × 194,809.16
  4. Step 4: Simplify right side
    345,702.44x = 92,934,150,046.70
  5. Step 5: Solve for x
    x = 92,934,150,046.70/345,702.44
  6. Step 6: Final answer
    x = 268,827.00

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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.