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Finding the Fourth Proportional to 384,178.08, 575,800.53 and 271,891.11

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Solution

The fourth proportional to 384,178.08, 575,800.53 and 271,891.11 is: 407,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,178.08 : 575,800.53 = 271,891.11 : x
  2. Step 2: Convert to fraction form
    384,178.08/575,800.53 = 271,891.11/x
  3. Step 3: Cross multiply
    384,178.08x = 575,800.53 × 271,891.11
  4. Step 4: Simplify right side
    384,178.08x = 156,555,045,240.29
  5. Step 5: Solve for x
    x = 156,555,045,240.29/384,178.08
  6. Step 6: Final answer
    x = 407,506.45

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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.