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Finding the Fourth Proportional to 297,714.20, 446,441.70 and 97,957.40

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Solution

The fourth proportional to 297,714.20, 446,441.70 and 97,957.40 is: 146,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,714.20 : 446,441.70 = 97,957.40 : x
  2. Step 2: Convert to fraction form
    297,714.20/446,441.70 = 97,957.40/x
  3. Step 3: Cross multiply
    297,714.20x = 446,441.70 × 97,957.40
  4. Step 4: Simplify right side
    297,714.20x = 43,732,268,183.58
  5. Step 5: Solve for x
    x = 43,732,268,183.58/297,714.20
  6. Step 6: Final answer
    x = 146,893.46

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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.