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Finding the Fourth Proportional to 329,124.96, 493,585.32 and 118,735.44

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Solution

The fourth proportional to 329,124.96, 493,585.32 and 118,735.44 is: 178,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,124.96 : 493,585.32 = 118,735.44 : x
  2. Step 2: Convert to fraction form
    329,124.96/493,585.32 = 118,735.44/x
  3. Step 3: Cross multiply
    329,124.96x = 493,585.32 × 118,735.44
  4. Step 4: Simplify right side
    329,124.96x = 58,606,070,147.74
  5. Step 5: Solve for x
    x = 58,606,070,147.74/329,124.96
  6. Step 6: Final answer
    x = 178,066.32

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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.