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Finding the Fourth Proportional to 538,894.20, 809,216.10 and 302,698.20

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Solution

The fourth proportional to 538,894.20, 809,216.10 and 302,698.20 is: 454,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,894.20 : 809,216.10 = 302,698.20 : x
  2. Step 2: Convert to fraction form
    538,894.20/809,216.10 = 302,698.20/x
  3. Step 3: Cross multiply
    538,894.20x = 809,216.10 × 302,698.20
  4. Step 4: Simplify right side
    538,894.20x = 244,948,256,881.02
  5. Step 5: Solve for x
    x = 244,948,256,881.02/538,894.20
  6. Step 6: Final answer
    x = 454,538.68

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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.