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Finding the Fourth Proportional to 368,709.52, 508,857.24 and 225,564.72

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Solution

The fourth proportional to 368,709.52, 508,857.24 and 225,564.72 is: 311,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,709.52 : 508,857.24 = 225,564.72 : x
  2. Step 2: Convert to fraction form
    368,709.52/508,857.24 = 225,564.72/x
  3. Step 3: Cross multiply
    368,709.52x = 508,857.24 × 225,564.72
  4. Step 4: Simplify right side
    368,709.52x = 114,780,240,860.57
  5. Step 5: Solve for x
    x = 114,780,240,860.57/368,709.52
  6. Step 6: Final answer
    x = 311,302.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.