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Finding the Fourth Proportional to 302,952.80, 454,429.20 and 256,296.80

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Solution

The fourth proportional to 302,952.80, 454,429.20 and 256,296.80 is: 384,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,952.80 : 454,429.20 = 256,296.80 : x
  2. Step 2: Convert to fraction form
    302,952.80/454,429.20 = 256,296.80/x
  3. Step 3: Cross multiply
    302,952.80x = 454,429.20 × 256,296.80
  4. Step 4: Simplify right side
    302,952.80x = 116,468,749,786.56
  5. Step 5: Solve for x
    x = 116,468,749,786.56/302,952.80
  6. Step 6: Final answer
    x = 384,445.20

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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.