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Finding the Fourth Proportional to 345,537.22, 476,830.65 and 194,630.98

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Solution

The fourth proportional to 345,537.22, 476,830.65 and 194,630.98 is: 268,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,537.22 : 476,830.65 = 194,630.98 : x
  2. Step 2: Convert to fraction form
    345,537.22/476,830.65 = 194,630.98/x
  3. Step 3: Cross multiply
    345,537.22x = 476,830.65 × 194,630.98
  4. Step 4: Simplify right side
    345,537.22x = 92,806,016,703.54
  5. Step 5: Solve for x
    x = 92,806,016,703.54/345,537.22
  6. Step 6: Final answer
    x = 268,584.72

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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.