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Finding the Fourth Proportional to 462,517.88, 638,193.06 and 258,503.58

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Solution

The fourth proportional to 462,517.88, 638,193.06 and 258,503.58 is: 356,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,517.88 : 638,193.06 = 258,503.58 : x
  2. Step 2: Convert to fraction form
    462,517.88/638,193.06 = 258,503.58/x
  3. Step 3: Cross multiply
    462,517.88x = 638,193.06 × 258,503.58
  4. Step 4: Simplify right side
    462,517.88x = 164,975,190,741.16
  5. Step 5: Solve for x
    x = 164,975,190,741.16/462,517.88
  6. Step 6: Final answer
    x = 356,689.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.