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Finding the Fourth Proportional to 384,815.88, 531,047.88 and 215,052.84

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Solution

The fourth proportional to 384,815.88, 531,047.88 and 215,052.84 is: 296,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,815.88 : 531,047.88 = 215,052.84 : x
  2. Step 2: Convert to fraction form
    384,815.88/531,047.88 = 215,052.84/x
  3. Step 3: Cross multiply
    384,815.88x = 531,047.88 × 215,052.84
  4. Step 4: Simplify right side
    384,815.88x = 114,203,354,769.98
  5. Step 5: Solve for x
    x = 114,203,354,769.98/384,815.88
  6. Step 6: Final answer
    x = 296,774.02

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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.