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Finding the Fourth Proportional to 302,493.95, 454,020.98 and 152,839.56

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Solution

The fourth proportional to 302,493.95, 454,020.98 and 152,839.56 is: 229,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,493.95 : 454,020.98 = 152,839.56 : x
  2. Step 2: Convert to fraction form
    302,493.95/454,020.98 = 152,839.56/x
  3. Step 3: Cross multiply
    302,493.95x = 454,020.98 × 152,839.56
  4. Step 4: Simplify right side
    302,493.95x = 69,392,366,049.77
  5. Step 5: Solve for x
    x = 69,392,366,049.77/302,493.95
  6. Step 6: Final answer
    x = 229,400.84

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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.