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Finding the Fourth Proportional to 462,204.96, 637,847.06 and 271,221.52

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Solution

The fourth proportional to 462,204.96, 637,847.06 and 271,221.52 is: 374,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,204.96 : 637,847.06 = 271,221.52 : x
  2. Step 2: Convert to fraction form
    462,204.96/637,847.06 = 271,221.52/x
  3. Step 3: Cross multiply
    462,204.96x = 637,847.06 × 271,221.52
  4. Step 4: Simplify right side
    462,204.96x = 172,997,849,140.73
  5. Step 5: Solve for x
    x = 172,997,849,140.73/462,204.96
  6. Step 6: Final answer
    x = 374,288.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.