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Finding the Fourth Proportional to 384,034.24, 576,054.78 and 117,796

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Solution

The fourth proportional to 384,034.24, 576,054.78 and 117,796 is: 176,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,034.24 : 576,054.78 = 117,796 : x
  2. Step 2: Convert to fraction form
    384,034.24/576,054.78 = 117,796/x
  3. Step 3: Cross multiply
    384,034.24x = 576,054.78 × 117,796
  4. Step 4: Simplify right side
    384,034.24x = 67,856,948,864.88
  5. Step 5: Solve for x
    x = 67,856,948,864.88/384,034.24
  6. Step 6: Final answer
    x = 176,695.05

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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.