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Finding the Fourth Proportional to 356,861.22, 492,474.78 and 195,714.87

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Solution

The fourth proportional to 356,861.22, 492,474.78 and 195,714.87 is: 270,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,861.22 : 492,474.78 = 195,714.87 : x
  2. Step 2: Convert to fraction form
    356,861.22/492,474.78 = 195,714.87/x
  3. Step 3: Cross multiply
    356,861.22x = 492,474.78 × 195,714.87
  4. Step 4: Simplify right side
    356,861.22x = 96,384,637,545.98
  5. Step 5: Solve for x
    x = 96,384,637,545.98/356,861.22
  6. Step 6: Final answer
    x = 270,089.97

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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.