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Finding the Fourth Proportional to 384,222.24, 576,282.30 and 114,345.54

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Solution

The fourth proportional to 384,222.24, 576,282.30 and 114,345.54 is: 171,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,222.24 : 576,282.30 = 114,345.54 : x
  2. Step 2: Convert to fraction form
    384,222.24/576,282.30 = 114,345.54/x
  3. Step 3: Cross multiply
    384,222.24x = 576,282.30 × 114,345.54
  4. Step 4: Simplify right side
    384,222.24x = 65,895,310,785.94
  5. Step 5: Solve for x
    x = 65,895,310,785.94/384,222.24
  6. Step 6: Final answer
    x = 171,503.11

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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.