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Finding the Fourth Proportional to 382,940.56, 574,432.44 and 116,709.76

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Solution

The fourth proportional to 382,940.56, 574,432.44 and 116,709.76 is: 175,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,940.56 : 574,432.44 = 116,709.76 : x
  2. Step 2: Convert to fraction form
    382,940.56/574,432.44 = 116,709.76/x
  3. Step 3: Cross multiply
    382,940.56x = 574,432.44 × 116,709.76
  4. Step 4: Simplify right side
    382,940.56x = 67,041,868,752.90
  5. Step 5: Solve for x
    x = 67,041,868,752.90/382,940.56
  6. Step 6: Final answer
    x = 175,071.22

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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.