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Finding the Fourth Proportional to 411,818.48, 617,596.20 and 131,270

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Solution

The fourth proportional to 411,818.48, 617,596.20 and 131,270 is: 196,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,818.48 : 617,596.20 = 131,270 : x
  2. Step 2: Convert to fraction form
    411,818.48/617,596.20 = 131,270/x
  3. Step 3: Cross multiply
    411,818.48x = 617,596.20 × 131,270
  4. Step 4: Simplify right side
    411,818.48x = 81,071,853,174
  5. Step 5: Solve for x
    x = 81,071,853,174/411,818.48
  6. Step 6: Final answer
    x = 196,863.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.