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Finding the Fourth Proportional to 462,839.23, 638,777.22 and 258,901.48

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Solution

The fourth proportional to 462,839.23, 638,777.22 and 258,901.48 is: 357,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,839.23 : 638,777.22 = 258,901.48 : x
  2. Step 2: Convert to fraction form
    462,839.23/638,777.22 = 258,901.48/x
  3. Step 3: Cross multiply
    462,839.23x = 638,777.22 × 258,901.48
  4. Step 4: Simplify right side
    462,839.23x = 165,380,366,051.34
  5. Step 5: Solve for x
    x = 165,380,366,051.34/462,839.23
  6. Step 6: Final answer
    x = 357,317.09

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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.