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Finding the Fourth Proportional to 297,514.44, 446,286.02 and 97,830.42

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Solution

The fourth proportional to 297,514.44, 446,286.02 and 97,830.42 is: 146,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514.44 : 446,286.02 = 97,830.42 : x
  2. Step 2: Convert to fraction form
    297,514.44/446,286.02 = 97,830.42/x
  3. Step 3: Cross multiply
    297,514.44x = 446,286.02 × 97,830.42
  4. Step 4: Simplify right side
    297,514.44x = 43,660,348,776.73
  5. Step 5: Solve for x
    x = 43,660,348,776.73/297,514.44
  6. Step 6: Final answer
    x = 146,750.35

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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.