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Finding the Fourth Proportional to 268,213.80, 401,859.90 and 174,671.40

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Solution

The fourth proportional to 268,213.80, 401,859.90 and 174,671.40 is: 261,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,213.80 : 401,859.90 = 174,671.40 : x
  2. Step 2: Convert to fraction form
    268,213.80/401,859.90 = 174,671.40/x
  3. Step 3: Cross multiply
    268,213.80x = 401,859.90 × 174,671.40
  4. Step 4: Simplify right side
    268,213.80x = 70,193,431,336.86
  5. Step 5: Solve for x
    x = 70,193,431,336.86/268,213.80
  6. Step 6: Final answer
    x = 261,707.01

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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.