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Finding the Fourth Proportional to 409,693.40, 614,540.10 and 114,205.40

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Solution

The fourth proportional to 409,693.40, 614,540.10 and 114,205.40 is: 171,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,693.40 : 614,540.10 = 114,205.40 : x
  2. Step 2: Convert to fraction form
    409,693.40/614,540.10 = 114,205.40/x
  3. Step 3: Cross multiply
    409,693.40x = 614,540.10 × 114,205.40
  4. Step 4: Simplify right side
    409,693.40x = 70,183,797,936.54
  5. Step 5: Solve for x
    x = 70,183,797,936.54/409,693.40
  6. Step 6: Final answer
    x = 171,308.10

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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.