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Finding the Fourth Proportional to 414,544.42, 620,820.16 and 236,511.69

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Solution

The fourth proportional to 414,544.42, 620,820.16 and 236,511.69 is: 354,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,544.42 : 620,820.16 = 236,511.69 : x
  2. Step 2: Convert to fraction form
    414,544.42/620,820.16 = 236,511.69/x
  3. Step 3: Cross multiply
    414,544.42x = 620,820.16 × 236,511.69
  4. Step 4: Simplify right side
    414,544.42x = 146,831,221,532.29
  5. Step 5: Solve for x
    x = 146,831,221,532.29/414,544.42
  6. Step 6: Final answer
    x = 354,199.01

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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.