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Finding the Fourth Proportional to 462,185.92, 637,814.82 and 258,255.46

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Solution

The fourth proportional to 462,185.92, 637,814.82 and 258,255.46 is: 356,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,185.92 : 637,814.82 = 258,255.46 : x
  2. Step 2: Convert to fraction form
    462,185.92/637,814.82 = 258,255.46/x
  3. Step 3: Cross multiply
    462,185.92x = 637,814.82 × 258,255.46
  4. Step 4: Simplify right side
    462,185.92x = 164,719,159,733.92
  5. Step 5: Solve for x
    x = 164,719,159,733.92/462,185.92
  6. Step 6: Final answer
    x = 356,391.56

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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.