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Finding the Fourth Proportional to 329,151.94, 493,432.26 and 118,740.70

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Solution

The fourth proportional to 329,151.94, 493,432.26 and 118,740.70 is: 178,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,151.94 : 493,432.26 = 118,740.70 : x
  2. Step 2: Convert to fraction form
    329,151.94/493,432.26 = 118,740.70/x
  3. Step 3: Cross multiply
    329,151.94x = 493,432.26 × 118,740.70
  4. Step 4: Simplify right side
    329,151.94x = 58,590,491,954.98
  5. Step 5: Solve for x
    x = 58,590,491,954.98/329,151.94
  6. Step 6: Final answer
    x = 178,004.40

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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.