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Finding the Fourth Proportional to 408,904.80, 613,357.20 and 296,930.40

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Solution

The fourth proportional to 408,904.80, 613,357.20 and 296,930.40 is: 445,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,904.80 : 613,357.20 = 296,930.40 : x
  2. Step 2: Convert to fraction form
    408,904.80/613,357.20 = 296,930.40/x
  3. Step 3: Cross multiply
    408,904.80x = 613,357.20 × 296,930.40
  4. Step 4: Simplify right side
    408,904.80x = 182,124,398,738.88
  5. Step 5: Solve for x
    x = 182,124,398,738.88/408,904.80
  6. Step 6: Final answer
    x = 445,395.60

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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.