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Finding the Fourth Proportional to 297,536.80, 446,348.40 and 97,866.40

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Solution

The fourth proportional to 297,536.80, 446,348.40 and 97,866.40 is: 146,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,536.80 : 446,348.40 = 97,866.40 : x
  2. Step 2: Convert to fraction form
    297,536.80/446,348.40 = 97,866.40/x
  3. Step 3: Cross multiply
    297,536.80x = 446,348.40 × 97,866.40
  4. Step 4: Simplify right side
    297,536.80x = 43,682,511,053.76
  5. Step 5: Solve for x
    x = 43,682,511,053.76/297,536.80
  6. Step 6: Final answer
    x = 146,813.81

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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.