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Finding the Fourth Proportional to 543,909.40, 815,864.10 and 419,493.40

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Solution

The fourth proportional to 543,909.40, 815,864.10 and 419,493.40 is: 629,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,909.40 : 815,864.10 = 419,493.40 : x
  2. Step 2: Convert to fraction form
    543,909.40/815,864.10 = 419,493.40/x
  3. Step 3: Cross multiply
    543,909.40x = 815,864.10 × 419,493.40
  4. Step 4: Simplify right side
    543,909.40x = 342,249,605,246.94
  5. Step 5: Solve for x
    x = 342,249,605,246.94/543,909.40
  6. Step 6: Final answer
    x = 629,240.10

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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.