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Finding the Fourth Proportional to 301,443.61, 415,906.95 and 194,075.80

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Solution

The fourth proportional to 301,443.61, 415,906.95 and 194,075.80 is: 267,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,443.61 : 415,906.95 = 194,075.80 : x
  2. Step 2: Convert to fraction form
    301,443.61/415,906.95 = 194,075.80/x
  3. Step 3: Cross multiply
    301,443.61x = 415,906.95 × 194,075.80
  4. Step 4: Simplify right side
    301,443.61x = 80,717,473,734.83
  5. Step 5: Solve for x
    x = 80,717,473,734.83/301,443.61
  6. Step 6: Final answer
    x = 267,769.73

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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.