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Finding the Fourth Proportional to 424,857.42, 586,302.63 and 231,264.54

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Solution

The fourth proportional to 424,857.42, 586,302.63 and 231,264.54 is: 319,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,857.42 : 586,302.63 = 231,264.54 : x
  2. Step 2: Convert to fraction form
    424,857.42/586,302.63 = 231,264.54/x
  3. Step 3: Cross multiply
    424,857.42x = 586,302.63 × 231,264.54
  4. Step 4: Simplify right side
    424,857.42x = 135,591,008,027.74
  5. Step 5: Solve for x
    x = 135,591,008,027.74/424,857.42
  6. Step 6: Final answer
    x = 319,144.73

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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.