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Finding the Fourth Proportional to 462,231.88, 637,815.78 and 258,257.32

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Solution

The fourth proportional to 462,231.88, 637,815.78 and 258,257.32 is: 356,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,231.88 : 637,815.78 = 258,257.32 : x
  2. Step 2: Convert to fraction form
    462,231.88/637,815.78 = 258,257.32/x
  3. Step 3: Cross multiply
    462,231.88x = 637,815.78 × 258,257.32
  4. Step 4: Simplify right side
    462,231.88x = 164,720,593,996.51
  5. Step 5: Solve for x
    x = 164,720,593,996.51/462,231.88
  6. Step 6: Final answer
    x = 356,359.22

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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.