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Finding the Fourth Proportional to 506,381.60, 759,615.76 and 132,404

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Solution

The fourth proportional to 506,381.60, 759,615.76 and 132,404 is: 198,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,381.60 : 759,615.76 = 132,404 : x
  2. Step 2: Convert to fraction form
    506,381.60/759,615.76 = 132,404/x
  3. Step 3: Cross multiply
    506,381.60x = 759,615.76 × 132,404
  4. Step 4: Simplify right side
    506,381.60x = 100,576,165,087.04
  5. Step 5: Solve for x
    x = 100,576,165,087.04/506,381.60
  6. Step 6: Final answer
    x = 198,617.34

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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.