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Finding the Fourth Proportional to 411,602.94, 617,404.41 and 271,328.76

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Solution

The fourth proportional to 411,602.94, 617,404.41 and 271,328.76 is: 406,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602.94 : 617,404.41 = 271,328.76 : x
  2. Step 2: Convert to fraction form
    411,602.94/617,404.41 = 271,328.76/x
  3. Step 3: Cross multiply
    411,602.94x = 617,404.41 × 271,328.76
  4. Step 4: Simplify right side
    411,602.94x = 167,519,572,983.83
  5. Step 5: Solve for x
    x = 167,519,572,983.83/411,602.94
  6. Step 6: Final answer
    x = 406,993.14

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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.