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Finding the Fourth Proportional to 496,841.63, 745,274.70 and 181,298.44

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Solution

The fourth proportional to 496,841.63, 745,274.70 and 181,298.44 is: 271,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,841.63 : 745,274.70 = 181,298.44 : x
  2. Step 2: Convert to fraction form
    496,841.63/745,274.70 = 181,298.44/x
  3. Step 3: Cross multiply
    496,841.63x = 745,274.70 × 181,298.44
  4. Step 4: Simplify right side
    496,841.63x = 135,117,138,618.28
  5. Step 5: Solve for x
    x = 135,117,138,618.28/496,841.63
  6. Step 6: Final answer
    x = 271,952.13

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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.