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Finding the Fourth Proportional to 297,319.40, 446,033.10 and 97,584.20

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Solution

The fourth proportional to 297,319.40, 446,033.10 and 97,584.20 is: 146,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,319.40 : 446,033.10 = 97,584.20 : x
  2. Step 2: Convert to fraction form
    297,319.40/446,033.10 = 97,584.20/x
  3. Step 3: Cross multiply
    297,319.40x = 446,033.10 × 97,584.20
  4. Step 4: Simplify right side
    297,319.40x = 43,525,783,237.02
  5. Step 5: Solve for x
    x = 43,525,783,237.02/297,319.40
  6. Step 6: Final answer
    x = 146,394.02

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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.