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Finding the Fourth Proportional to 454,574.10, 681,713.51 and 214,650.88

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Solution

The fourth proportional to 454,574.10, 681,713.51 and 214,650.88 is: 321,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,574.10 : 681,713.51 = 214,650.88 : x
  2. Step 2: Convert to fraction form
    454,574.10/681,713.51 = 214,650.88/x
  3. Step 3: Cross multiply
    454,574.10x = 681,713.51 × 214,650.88
  4. Step 4: Simplify right side
    454,574.10x = 146,330,404,829.39
  5. Step 5: Solve for x
    x = 146,330,404,829.39/454,574.10
  6. Step 6: Final answer
    x = 321,906.60

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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.