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Finding the Fourth Proportional to 421,046.76, 581,044.68 and 227,454.54

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Solution

The fourth proportional to 421,046.76, 581,044.68 and 227,454.54 is: 313,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,046.76 : 581,044.68 = 227,454.54 : x
  2. Step 2: Convert to fraction form
    421,046.76/581,044.68 = 227,454.54/x
  3. Step 3: Cross multiply
    421,046.76x = 581,044.68 × 227,454.54
  4. Step 4: Simplify right side
    421,046.76x = 132,161,250,408.85
  5. Step 5: Solve for x
    x = 132,161,250,408.85/421,046.76
  6. Step 6: Final answer
    x = 313,887.35

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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.