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Finding the Fourth Proportional to 415,966.48, 624,015 and 179,376.40

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Solution

The fourth proportional to 415,966.48, 624,015 and 179,376.40 is: 269,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,966.48 : 624,015 = 179,376.40 : x
  2. Step 2: Convert to fraction form
    415,966.48/624,015 = 179,376.40/x
  3. Step 3: Cross multiply
    415,966.48x = 624,015 × 179,376.40
  4. Step 4: Simplify right side
    415,966.48x = 111,933,564,246
  5. Step 5: Solve for x
    x = 111,933,564,246/415,966.48
  6. Step 6: Final answer
    x = 269,092.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.