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Finding the Fourth Proportional to 414,985.02, 622,634.40 and 162,446

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Solution

The fourth proportional to 414,985.02, 622,634.40 and 162,446 is: 243,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,985.02 : 622,634.40 = 162,446 : x
  2. Step 2: Convert to fraction form
    414,985.02/622,634.40 = 162,446/x
  3. Step 3: Cross multiply
    414,985.02x = 622,634.40 × 162,446
  4. Step 4: Simplify right side
    414,985.02x = 101,144,467,742.40
  5. Step 5: Solve for x
    x = 101,144,467,742.40/414,985.02
  6. Step 6: Final answer
    x = 243,730.41

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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.