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Finding the Fourth Proportional to 329,342.94, 493,719.12 and 118,931.67

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Solution

The fourth proportional to 329,342.94, 493,719.12 and 118,931.67 is: 178,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,342.94 : 493,719.12 = 118,931.67 : x
  2. Step 2: Convert to fraction form
    329,342.94/493,719.12 = 118,931.67/x
  3. Step 3: Cross multiply
    329,342.94x = 493,719.12 × 118,931.67
  4. Step 4: Simplify right side
    329,342.94x = 58,718,839,452.53
  5. Step 5: Solve for x
    x = 58,718,839,452.53/329,342.94
  6. Step 6: Final answer
    x = 178,290.87

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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.