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Finding the Fourth Proportional to 414,300.65, 620,883.96 and 313,015.43

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Solution

The fourth proportional to 414,300.65, 620,883.96 and 313,015.43 is: 469,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,300.65 : 620,883.96 = 313,015.43 : x
  2. Step 2: Convert to fraction form
    414,300.65/620,883.96 = 313,015.43/x
  3. Step 3: Cross multiply
    414,300.65x = 620,883.96 × 313,015.43
  4. Step 4: Simplify right side
    414,300.65x = 194,346,256,615.08
  5. Step 5: Solve for x
    x = 194,346,256,615.08/414,300.65
  6. Step 6: Final answer
    x = 469,094.75

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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.