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Finding the Fourth Proportional to 538,904.20, 809,231.10 and 302,708.20

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Solution

The fourth proportional to 538,904.20, 809,231.10 and 302,708.20 is: 454,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,904.20 : 809,231.10 = 302,708.20 : x
  2. Step 2: Convert to fraction form
    538,904.20/809,231.10 = 302,708.20/x
  3. Step 3: Cross multiply
    538,904.20x = 809,231.10 × 302,708.20
  4. Step 4: Simplify right side
    538,904.20x = 244,960,889,665.02
  5. Step 5: Solve for x
    x = 244,960,889,665.02/538,904.20
  6. Step 6: Final answer
    x = 454,553.68

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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.