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Finding the Fourth Proportional to 454,404.80, 681,607.20 and 138,859

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Solution

The fourth proportional to 454,404.80, 681,607.20 and 138,859 is: 208,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,404.80 : 681,607.20 = 138,859 : x
  2. Step 2: Convert to fraction form
    454,404.80/681,607.20 = 138,859/x
  3. Step 3: Cross multiply
    454,404.80x = 681,607.20 × 138,859
  4. Step 4: Simplify right side
    454,404.80x = 94,647,294,184.80
  5. Step 5: Solve for x
    x = 94,647,294,184.80/454,404.80
  6. Step 6: Final answer
    x = 208,288.50

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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.