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Finding the Fourth Proportional to 411,604.94, 617,407.41 and 271,330.76

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Solution

The fourth proportional to 411,604.94, 617,407.41 and 271,330.76 is: 406,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,604.94 : 617,407.41 = 271,330.76 : x
  2. Step 2: Convert to fraction form
    411,604.94/617,407.41 = 271,330.76/x
  3. Step 3: Cross multiply
    411,604.94x = 617,407.41 × 271,330.76
  4. Step 4: Simplify right side
    411,604.94x = 167,521,621,784.93
  5. Step 5: Solve for x
    x = 167,521,621,784.93/411,604.94
  6. Step 6: Final answer
    x = 406,996.14

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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.