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Finding the Fourth Proportional to 411,607.94, 617,411.92 and 271,333.76

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Solution

The fourth proportional to 411,607.94, 617,411.92 and 271,333.76 is: 407,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,607.94 : 617,411.92 = 271,333.76 : x
  2. Step 2: Convert to fraction form
    411,607.94/617,411.92 = 271,333.76/x
  3. Step 3: Cross multiply
    411,607.94x = 617,411.92 × 271,333.76
  4. Step 4: Simplify right side
    411,607.94x = 167,524,697,722.42
  5. Step 5: Solve for x
    x = 167,524,697,722.42/411,607.94
  6. Step 6: Final answer
    x = 407,000.65

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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.