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Finding the Fourth Proportional to 456,302.79, 684,401.90 and 119,375.96

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Solution

The fourth proportional to 456,302.79, 684,401.90 and 119,375.96 is: 179,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,302.79 : 684,401.90 = 119,375.96 : x
  2. Step 2: Convert to fraction form
    456,302.79/684,401.90 = 119,375.96/x
  3. Step 3: Cross multiply
    456,302.79x = 684,401.90 × 119,375.96
  4. Step 4: Simplify right side
    456,302.79x = 81,701,129,819.43
  5. Step 5: Solve for x
    x = 81,701,129,819.43/456,302.79
  6. Step 6: Final answer
    x = 179,050.25

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Why These Related Problems?

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