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Finding the Fourth Proportional to 384,083.94, 529,956.72 and 220,708.86

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Solution

The fourth proportional to 384,083.94, 529,956.72 and 220,708.86 is: 304,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,083.94 : 529,956.72 = 220,708.86 : x
  2. Step 2: Convert to fraction form
    384,083.94/529,956.72 = 220,708.86/x
  3. Step 3: Cross multiply
    384,083.94x = 529,956.72 × 220,708.86
  4. Step 4: Simplify right side
    384,083.94x = 116,966,143,520.54
  5. Step 5: Solve for x
    x = 116,966,143,520.54/384,083.94
  6. Step 6: Final answer
    x = 304,532.76

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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.