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Finding the Fourth Proportional to 421,086.96, 581,101.55 and 230,100.38

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Solution

The fourth proportional to 421,086.96, 581,101.55 and 230,100.38 is: 317,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,086.96 : 581,101.55 = 230,100.38 : x
  2. Step 2: Convert to fraction form
    421,086.96/581,101.55 = 230,100.38/x
  3. Step 3: Cross multiply
    421,086.96x = 581,101.55 × 230,100.38
  4. Step 4: Simplify right side
    421,086.96x = 133,711,687,473.59
  5. Step 5: Solve for x
    x = 133,711,687,473.59/421,086.96
  6. Step 6: Final answer
    x = 317,539.37

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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.