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Finding the Fourth Proportional to 424,676.49, 586,046.14 and 231,077.67

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Solution

The fourth proportional to 424,676.49, 586,046.14 and 231,077.67 is: 318,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,676.49 : 586,046.14 = 231,077.67 : x
  2. Step 2: Convert to fraction form
    424,676.49/586,046.14 = 231,077.67/x
  3. Step 3: Cross multiply
    424,676.49x = 586,046.14 × 231,077.67
  4. Step 4: Simplify right side
    424,676.49x = 135,422,175,079.89
  5. Step 5: Solve for x
    x = 135,422,175,079.89/424,676.49
  6. Step 6: Final answer
    x = 318,883.15

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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.