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Finding the Fourth Proportional to 297,815.16, 446,778.11 and 98,149.58

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Solution

The fourth proportional to 297,815.16, 446,778.11 and 98,149.58 is: 147,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,815.16 : 446,778.11 = 98,149.58 : x
  2. Step 2: Convert to fraction form
    297,815.16/446,778.11 = 98,149.58/x
  3. Step 3: Cross multiply
    297,815.16x = 446,778.11 × 98,149.58
  4. Step 4: Simplify right side
    297,815.16x = 43,851,081,125.06
  5. Step 5: Solve for x
    x = 43,851,081,125.06/297,815.16
  6. Step 6: Final answer
    x = 147,242.61

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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.