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Finding the Fourth Proportional to 462,696.98, 638,539.23 and 258,747.46

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Solution

The fourth proportional to 462,696.98, 638,539.23 and 258,747.46 is: 357,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,696.98 : 638,539.23 = 258,747.46 : x
  2. Step 2: Convert to fraction form
    462,696.98/638,539.23 = 258,747.46/x
  3. Step 3: Cross multiply
    462,696.98x = 638,539.23 × 258,747.46
  4. Step 4: Simplify right side
    462,696.98x = 165,220,404,655.41
  5. Step 5: Solve for x
    x = 165,220,404,655.41/462,696.98
  6. Step 6: Final answer
    x = 357,081.22

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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.