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Finding the Fourth Proportional to 397,614.86, 596,196.38 and 271,407.88

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Solution

The fourth proportional to 397,614.86, 596,196.38 and 271,407.88 is: 406,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,614.86 : 596,196.38 = 271,407.88 : x
  2. Step 2: Convert to fraction form
    397,614.86/596,196.38 = 271,407.88/x
  3. Step 3: Cross multiply
    397,614.86x = 596,196.38 × 271,407.88
  4. Step 4: Simplify right side
    397,614.86x = 161,812,395,559.47
  5. Step 5: Solve for x
    x = 161,812,395,559.47/397,614.86
  6. Step 6: Final answer
    x = 406,957.62

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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.