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Finding the Fourth Proportional to 329,347.92, 494,683.20 and 196,487.76

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Solution

The fourth proportional to 329,347.92, 494,683.20 and 196,487.76 is: 295,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,347.92 : 494,683.20 = 196,487.76 : x
  2. Step 2: Convert to fraction form
    329,347.92/494,683.20 = 196,487.76/x
  3. Step 3: Cross multiply
    329,347.92x = 494,683.20 × 196,487.76
  4. Step 4: Simplify right side
    329,347.92x = 97,199,193,877.63
  5. Step 5: Solve for x
    x = 97,199,193,877.63/329,347.92
  6. Step 6: Final answer
    x = 295,126.18

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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.