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Finding the Fourth Proportional to 421,204.38, 581,253.48 and 230,219.14

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Solution

The fourth proportional to 421,204.38, 581,253.48 and 230,219.14 is: 317,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,204.38 : 581,253.48 = 230,219.14 : x
  2. Step 2: Convert to fraction form
    421,204.38/581,253.48 = 230,219.14/x
  3. Step 3: Cross multiply
    421,204.38x = 581,253.48 × 230,219.14
  4. Step 4: Simplify right side
    421,204.38x = 133,815,676,863.16
  5. Step 5: Solve for x
    x = 133,815,676,863.16/421,204.38
  6. Step 6: Final answer
    x = 317,697.73

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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.