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Finding the Fourth Proportional to 462,142.80, 637,745.31 and 258,195.25

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Solution

The fourth proportional to 462,142.80, 637,745.31 and 258,195.25 is: 356,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,142.80 : 637,745.31 = 258,195.25 : x
  2. Step 2: Convert to fraction form
    462,142.80/637,745.31 = 258,195.25/x
  3. Step 3: Cross multiply
    462,142.80x = 637,745.31 × 258,195.25
  4. Step 4: Simplify right side
    462,142.80x = 164,662,809,751.78
  5. Step 5: Solve for x
    x = 164,662,809,751.78/462,142.80
  6. Step 6: Final answer
    x = 356,302.88

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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.