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Finding the Fourth Proportional to 302,124, 452,311.16 and 227,558.24

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Solution

The fourth proportional to 302,124, 452,311.16 and 227,558.24 is: 340,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,124 : 452,311.16 = 227,558.24 : x
  2. Step 2: Convert to fraction form
    302,124/452,311.16 = 227,558.24/x
  3. Step 3: Cross multiply
    302,124x = 452,311.16 × 227,558.24
  4. Step 4: Simplify right side
    302,124x = 102,927,131,501.96
  5. Step 5: Solve for x
    x = 102,927,131,501.96/302,124
  6. Step 6: Final answer
    x = 340,678.44

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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.