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Finding the Fourth Proportional to 462,522.83, 638,478.25 and 281,292.97

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Solution

The fourth proportional to 462,522.83, 638,478.25 and 281,292.97 is: 388,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,522.83 : 638,478.25 = 281,292.97 : x
  2. Step 2: Convert to fraction form
    462,522.83/638,478.25 = 281,292.97/x
  3. Step 3: Cross multiply
    462,522.83x = 638,478.25 × 281,292.97
  4. Step 4: Simplify right side
    462,522.83x = 179,599,443,926.14
  5. Step 5: Solve for x
    x = 179,599,443,926.14/462,522.83
  6. Step 6: Final answer
    x = 388,303.96

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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.