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Finding the Fourth Proportional to 309,559.88, 427,011.64 and 194,656.68

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Solution

The fourth proportional to 309,559.88, 427,011.64 and 194,656.68 is: 268,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,559.88 : 427,011.64 = 194,656.68 : x
  2. Step 2: Convert to fraction form
    309,559.88/427,011.64 = 194,656.68/x
  3. Step 3: Cross multiply
    309,559.88x = 427,011.64 × 194,656.68
  4. Step 4: Simplify right side
    309,559.88x = 83,120,668,163.76
  5. Step 5: Solve for x
    x = 83,120,668,163.76/309,559.88
  6. Step 6: Final answer
    x = 268,512.41

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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.