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Finding the Fourth Proportional to 381,004.80, 571,507.20 and 344,263.20

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Solution

The fourth proportional to 381,004.80, 571,507.20 and 344,263.20 is: 516,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,004.80 : 571,507.20 = 344,263.20 : x
  2. Step 2: Convert to fraction form
    381,004.80/571,507.20 = 344,263.20/x
  3. Step 3: Cross multiply
    381,004.80x = 571,507.20 × 344,263.20
  4. Step 4: Simplify right side
    381,004.80x = 196,748,897,495.04
  5. Step 5: Solve for x
    x = 196,748,897,495.04/381,004.80
  6. Step 6: Final answer
    x = 516,394.80

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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.