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Finding the Fourth Proportional to 415,454.40, 623,327.40 and 178,869.60

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Solution

The fourth proportional to 415,454.40, 623,327.40 and 178,869.60 is: 268,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,454.40 : 623,327.40 = 178,869.60 : x
  2. Step 2: Convert to fraction form
    415,454.40/623,327.40 = 178,869.60/x
  3. Step 3: Cross multiply
    415,454.40x = 623,327.40 × 178,869.60
  4. Step 4: Simplify right side
    415,454.40x = 111,494,322,707.04
  5. Step 5: Solve for x
    x = 111,494,322,707.04/415,454.40
  6. Step 6: Final answer
    x = 268,367.17

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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.