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Finding the Fourth Proportional to 543,615.40, 815,419.05 and 164,535.40

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Solution

The fourth proportional to 543,615.40, 815,419.05 and 164,535.40 is: 246,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,615.40 : 815,419.05 = 164,535.40 : x
  2. Step 2: Convert to fraction form
    543,615.40/815,419.05 = 164,535.40/x
  3. Step 3: Cross multiply
    543,615.40x = 815,419.05 × 164,535.40
  4. Step 4: Simplify right side
    543,615.40x = 134,165,299,559.37
  5. Step 5: Solve for x
    x = 134,165,299,559.37/543,615.40
  6. Step 6: Final answer
    x = 246,801.87

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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.