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Finding the Fourth Proportional to 309,113.80, 463,233.30 and 271,497.40

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Solution

The fourth proportional to 309,113.80, 463,233.30 and 271,497.40 is: 406,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,113.80 : 463,233.30 = 271,497.40 : x
  2. Step 2: Convert to fraction form
    309,113.80/463,233.30 = 271,497.40/x
  3. Step 3: Cross multiply
    309,113.80x = 463,233.30 × 271,497.40
  4. Step 4: Simplify right side
    309,113.80x = 125,766,636,543.42
  5. Step 5: Solve for x
    x = 125,766,636,543.42/309,113.80
  6. Step 6: Final answer
    x = 406,861.93

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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.