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Finding the Fourth Proportional to 454,466.80, 681,693.80 and 205,148.40

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Solution

The fourth proportional to 454,466.80, 681,693.80 and 205,148.40 is: 307,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,466.80 : 681,693.80 = 205,148.40 : x
  2. Step 2: Convert to fraction form
    454,466.80/681,693.80 = 205,148.40/x
  3. Step 3: Cross multiply
    454,466.80x = 681,693.80 × 205,148.40
  4. Step 4: Simplify right side
    454,466.80x = 139,848,392,359.92
  5. Step 5: Solve for x
    x = 139,848,392,359.92/454,466.80
  6. Step 6: Final answer
    x = 307,719.71

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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.