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Finding the Fourth Proportional to 297,826, 446,794.35 and 98,160.42

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Solution

The fourth proportional to 297,826, 446,794.35 and 98,160.42 is: 147,258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,826 : 446,794.35 = 98,160.42 : x
  2. Step 2: Convert to fraction form
    297,826/446,794.35 = 98,160.42/x
  3. Step 3: Cross multiply
    297,826x = 446,794.35 × 98,160.42
  4. Step 4: Simplify right side
    297,826x = 43,857,518,815.66
  5. Step 5: Solve for x
    x = 43,857,518,815.66/297,826
  6. Step 6: Final answer
    x = 147,258.87

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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.