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Finding the Fourth Proportional to 421,161.38, 581,202.76 and 230,174.72

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Solution

The fourth proportional to 421,161.38, 581,202.76 and 230,174.72 is: 317,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,161.38 : 581,202.76 = 230,174.72 : x
  2. Step 2: Convert to fraction form
    421,161.38/581,202.76 = 230,174.72/x
  3. Step 3: Cross multiply
    421,161.38x = 581,202.76 × 230,174.72
  4. Step 4: Simplify right side
    421,161.38x = 133,778,182,546.23
  5. Step 5: Solve for x
    x = 133,778,182,546.23/421,161.38
  6. Step 6: Final answer
    x = 317,641.14

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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.