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Finding the Fourth Proportional to 454,419.80, 681,623.30 and 205,101.40

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Solution

The fourth proportional to 454,419.80, 681,623.30 and 205,101.40 is: 307,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,419.80 : 681,623.30 = 205,101.40 : x
  2. Step 2: Convert to fraction form
    454,419.80/681,623.30 = 205,101.40/x
  3. Step 3: Cross multiply
    454,419.80x = 681,623.30 × 205,101.40
  4. Step 4: Simplify right side
    454,419.80x = 139,801,893,102.62
  5. Step 5: Solve for x
    x = 139,801,893,102.62/454,419.80
  6. Step 6: Final answer
    x = 307,649.21

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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.