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Finding the Fourth Proportional to 302,494, 454,021.64 and 152,839.44

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Solution

The fourth proportional to 302,494, 454,021.64 and 152,839.44 is: 229,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,494 : 454,021.64 = 152,839.44 : x
  2. Step 2: Convert to fraction form
    302,494/454,021.64 = 152,839.44/x
  3. Step 3: Cross multiply
    302,494x = 454,021.64 × 152,839.44
  4. Step 4: Simplify right side
    302,494x = 69,392,413,205.48
  5. Step 5: Solve for x
    x = 69,392,413,205.48/302,494
  6. Step 6: Final answer
    x = 229,400.96

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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.