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Finding the Fourth Proportional to 297,475.80, 446,119.08 and 97,750.20

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Solution

The fourth proportional to 297,475.80, 446,119.08 and 97,750.20 is: 146,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,475.80 : 446,119.08 = 97,750.20 : x
  2. Step 2: Convert to fraction form
    297,475.80/446,119.08 = 97,750.20/x
  3. Step 3: Cross multiply
    297,475.80x = 446,119.08 × 97,750.20
  4. Step 4: Simplify right side
    297,475.80x = 43,608,229,293.82
  5. Step 5: Solve for x
    x = 43,608,229,293.82/297,475.80
  6. Step 6: Final answer
    x = 146,594.21

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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.