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Finding the Fourth Proportional to 462,003.81, 637,558.44 and 258,057.57

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Solution

The fourth proportional to 462,003.81, 637,558.44 and 258,057.57 is: 356,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.81 : 637,558.44 = 258,057.57 : x
  2. Step 2: Convert to fraction form
    462,003.81/637,558.44 = 258,057.57/x
  3. Step 3: Cross multiply
    462,003.81x = 637,558.44 × 258,057.57
  4. Step 4: Simplify right side
    462,003.81x = 164,526,781,759.39
  5. Step 5: Solve for x
    x = 164,526,781,759.39/462,003.81
  6. Step 6: Final answer
    x = 356,115.64

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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.