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Finding the Fourth Proportional to 543,614.40, 815,417.55 and 164,534.40

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Solution

The fourth proportional to 543,614.40, 815,417.55 and 164,534.40 is: 246,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,614.40 : 815,417.55 = 164,534.40 : x
  2. Step 2: Convert to fraction form
    543,614.40/815,417.55 = 164,534.40/x
  3. Step 3: Cross multiply
    543,614.40x = 815,417.55 × 164,534.40
  4. Step 4: Simplify right side
    543,614.40x = 134,164,237,338.72
  5. Step 5: Solve for x
    x = 134,164,237,338.72/543,614.40
  6. Step 6: Final answer
    x = 246,800.37

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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.