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Finding the Fourth Proportional to 294,713.13, 406,704.12 and 160,577.13

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Solution

The fourth proportional to 294,713.13, 406,704.12 and 160,577.13 is: 221,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,713.13 : 406,704.12 = 160,577.13 : x
  2. Step 2: Convert to fraction form
    294,713.13/406,704.12 = 160,577.13/x
  3. Step 3: Cross multiply
    294,713.13x = 406,704.12 × 160,577.13
  4. Step 4: Simplify right side
    294,713.13x = 65,307,380,348.78
  5. Step 5: Solve for x
    x = 65,307,380,348.78/294,713.13
  6. Step 6: Final answer
    x = 221,596.44

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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.