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Finding the Fourth Proportional to 413,988.40, 620,982.60 and 344,004.40

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Solution

The fourth proportional to 413,988.40, 620,982.60 and 344,004.40 is: 516,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,988.40 : 620,982.60 = 344,004.40 : x
  2. Step 2: Convert to fraction form
    413,988.40/620,982.60 = 344,004.40/x
  3. Step 3: Cross multiply
    413,988.40x = 620,982.60 × 344,004.40
  4. Step 4: Simplify right side
    413,988.40x = 213,620,746,723.44
  5. Step 5: Solve for x
    x = 213,620,746,723.44/413,988.40
  6. Step 6: Final answer
    x = 516,006.60

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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.