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Finding the Fourth Proportional to 301,443.03, 415,906.16 and 194,075.24

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Solution

The fourth proportional to 301,443.03, 415,906.16 and 194,075.24 is: 267,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,443.03 : 415,906.16 = 194,075.24 : x
  2. Step 2: Convert to fraction form
    301,443.03/415,906.16 = 194,075.24/x
  3. Step 3: Cross multiply
    301,443.03x = 415,906.16 × 194,075.24
  4. Step 4: Simplify right side
    301,443.03x = 80,717,084,769.57
  5. Step 5: Solve for x
    x = 80,717,084,769.57/301,443.03
  6. Step 6: Final answer
    x = 267,768.95

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1.5x scale

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.