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Finding the Fourth Proportional to 306,493.46, 422,952.90 and 170,527.67

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Solution

The fourth proportional to 306,493.46, 422,952.90 and 170,527.67 is: 235,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,493.46 : 422,952.90 = 170,527.67 : x
  2. Step 2: Convert to fraction form
    306,493.46/422,952.90 = 170,527.67/x
  3. Step 3: Cross multiply
    306,493.46x = 422,952.90 × 170,527.67
  4. Step 4: Simplify right side
    306,493.46x = 72,125,172,556.74
  5. Step 5: Solve for x
    x = 72,125,172,556.74/306,493.46
  6. Step 6: Final answer
    x = 235,323.69

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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.