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Finding the Fourth Proportional to 297,466.20, 446,200.20 and 209,115

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Solution

The fourth proportional to 297,466.20, 446,200.20 and 209,115 is: 313,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,466.20 : 446,200.20 = 209,115 : x
  2. Step 2: Convert to fraction form
    297,466.20/446,200.20 = 209,115/x
  3. Step 3: Cross multiply
    297,466.20x = 446,200.20 × 209,115
  4. Step 4: Simplify right side
    297,466.20x = 93,307,154,823
  5. Step 5: Solve for x
    x = 93,307,154,823/297,466.20
  6. Step 6: Final answer
    x = 313,673.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.