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Finding the Fourth Proportional to 302,926.80, 454,390.20 and 256,270.80

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Solution

The fourth proportional to 302,926.80, 454,390.20 and 256,270.80 is: 384,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,926.80 : 454,390.20 = 256,270.80 : x
  2. Step 2: Convert to fraction form
    302,926.80/454,390.20 = 256,270.80/x
  3. Step 3: Cross multiply
    302,926.80x = 454,390.20 × 256,270.80
  4. Step 4: Simplify right side
    302,926.80x = 116,446,940,066.16
  5. Step 5: Solve for x
    x = 116,446,940,066.16/302,926.80
  6. Step 6: Final answer
    x = 384,406.20

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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.