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Finding the Fourth Proportional to 431,686.80, 648,113.40 and 274,222.80

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Solution

The fourth proportional to 431,686.80, 648,113.40 and 274,222.80 is: 411,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,686.80 : 648,113.40 = 274,222.80 : x
  2. Step 2: Convert to fraction form
    431,686.80/648,113.40 = 274,222.80/x
  3. Step 3: Cross multiply
    431,686.80x = 648,113.40 × 274,222.80
  4. Step 4: Simplify right side
    431,686.80x = 177,727,471,265.52
  5. Step 5: Solve for x
    x = 177,727,471,265.52/431,686.80
  6. Step 6: Final answer
    x = 411,704.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.