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Finding the Fourth Proportional to 302,713.20, 454,069.80 and 208,234.80

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Solution

The fourth proportional to 302,713.20, 454,069.80 and 208,234.80 is: 312,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713.20 : 454,069.80 = 208,234.80 : x
  2. Step 2: Convert to fraction form
    302,713.20/454,069.80 = 208,234.80/x
  3. Step 3: Cross multiply
    302,713.20x = 454,069.80 × 208,234.80
  4. Step 4: Simplify right side
    302,713.20x = 94,553,133,989.04
  5. Step 5: Solve for x
    x = 94,553,133,989.04/302,713.20
  6. Step 6: Final answer
    x = 312,352.20

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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.