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Finding the Fourth Proportional to 302,964.30, 454,446.45 and 256,308.30

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Solution

The fourth proportional to 302,964.30, 454,446.45 and 256,308.30 is: 384,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,964.30 : 454,446.45 = 256,308.30 : x
  2. Step 2: Convert to fraction form
    302,964.30/454,446.45 = 256,308.30/x
  3. Step 3: Cross multiply
    302,964.30x = 454,446.45 × 256,308.30
  4. Step 4: Simplify right side
    302,964.30x = 116,478,397,040.54
  5. Step 5: Solve for x
    x = 116,478,397,040.54/302,964.30
  6. Step 6: Final answer
    x = 384,462.45

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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.