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Finding the Fourth Proportional to 421,029.39, 581,021.07 and 230,042.78

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Solution

The fourth proportional to 421,029.39, 581,021.07 and 230,042.78 is: 317,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.39 : 581,021.07 = 230,042.78 : x
  2. Step 2: Convert to fraction form
    421,029.39/581,021.07 = 230,042.78/x
  3. Step 3: Cross multiply
    421,029.39x = 581,021.07 × 230,042.78
  4. Step 4: Simplify right side
    421,029.39x = 133,659,700,592.44
  5. Step 5: Solve for x
    x = 133,659,700,592.44/421,029.39
  6. Step 6: Final answer
    x = 317,459.31

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