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Finding the Fourth Proportional to 596,540.98, 894,951.63 and 197,181.77

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Solution

The fourth proportional to 596,540.98, 894,951.63 and 197,181.77 is: 295,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,540.98 : 894,951.63 = 197,181.77 : x
  2. Step 2: Convert to fraction form
    596,540.98/894,951.63 = 197,181.77/x
  3. Step 3: Cross multiply
    596,540.98x = 894,951.63 × 197,181.77
  4. Step 4: Simplify right side
    596,540.98x = 176,468,141,007.12
  5. Step 5: Solve for x
    x = 176,468,141,007.12/596,540.98
  6. Step 6: Final answer
    x = 295,818.97

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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.