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Finding the Fourth Proportional to 646,453.76, 969,081.96 and 330,213.20

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Solution

The fourth proportional to 646,453.76, 969,081.96 and 330,213.20 is: 495,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,453.76 : 969,081.96 = 330,213.20 : x
  2. Step 2: Convert to fraction form
    646,453.76/969,081.96 = 330,213.20/x
  3. Step 3: Cross multiply
    646,453.76x = 969,081.96 × 330,213.20
  4. Step 4: Simplify right side
    646,453.76x = 320,003,655,073.87
  5. Step 5: Solve for x
    x = 320,003,655,073.87/646,453.76
  6. Step 6: Final answer
    x = 495,013.99

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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.