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Finding the Fourth Proportional to 312,245.69, 430,894.28 and 174,426.41

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Solution

The fourth proportional to 312,245.69, 430,894.28 and 174,426.41 is: 240,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,245.69 : 430,894.28 = 174,426.41 : x
  2. Step 2: Convert to fraction form
    312,245.69/430,894.28 = 174,426.41/x
  3. Step 3: Cross multiply
    312,245.69x = 430,894.28 × 174,426.41
  4. Step 4: Simplify right side
    312,245.69x = 75,159,343,863.24
  5. Step 5: Solve for x
    x = 75,159,343,863.24/312,245.69
  6. Step 6: Final answer
    x = 240,705.79

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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.