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Finding the Fourth Proportional to 468,380.10, 646,191.63 and 307,324.56

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Solution

The fourth proportional to 468,380.10, 646,191.63 and 307,324.56 is: 423,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,380.10 : 646,191.63 = 307,324.56 : x
  2. Step 2: Convert to fraction form
    468,380.10/646,191.63 = 307,324.56/x
  3. Step 3: Cross multiply
    468,380.10x = 646,191.63 × 307,324.56
  4. Step 4: Simplify right side
    468,380.10x = 198,590,558,365.43
  5. Step 5: Solve for x
    x = 198,590,558,365.43/468,380.10
  6. Step 6: Final answer
    x = 423,994.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.