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Finding the Fourth Proportional to 297,473.80, 446,116.08 and 97,748.20

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Solution

The fourth proportional to 297,473.80, 446,116.08 and 97,748.20 is: 146,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,473.80 : 446,116.08 = 97,748.20 : x
  2. Step 2: Convert to fraction form
    297,473.80/446,116.08 = 97,748.20/x
  3. Step 3: Cross multiply
    297,473.80x = 446,116.08 × 97,748.20
  4. Step 4: Simplify right side
    297,473.80x = 43,607,043,811.06
  5. Step 5: Solve for x
    x = 43,607,043,811.06/297,473.80
  6. Step 6: Final answer
    x = 146,591.21

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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.