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Finding the Fourth Proportional to 488,351.40, 731,943.90 and 204,041.40

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Solution

The fourth proportional to 488,351.40, 731,943.90 and 204,041.40 is: 305,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,351.40 : 731,943.90 = 204,041.40 : x
  2. Step 2: Convert to fraction form
    488,351.40/731,943.90 = 204,041.40/x
  3. Step 3: Cross multiply
    488,351.40x = 731,943.90 × 204,041.40
  4. Step 4: Simplify right side
    488,351.40x = 149,346,858,077.46
  5. Step 5: Solve for x
    x = 149,346,858,077.46/488,351.40
  6. Step 6: Final answer
    x = 305,818.43

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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.