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Finding the Fourth Proportional to 297,201.40, 445,856.10 and 97,466.20

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Solution

The fourth proportional to 297,201.40, 445,856.10 and 97,466.20 is: 146,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,201.40 : 445,856.10 = 97,466.20 : x
  2. Step 2: Convert to fraction form
    297,201.40/445,856.10 = 97,466.20/x
  3. Step 3: Cross multiply
    297,201.40x = 445,856.10 × 97,466.20
  4. Step 4: Simplify right side
    297,201.40x = 43,455,899,813.82
  5. Step 5: Solve for x
    x = 43,455,899,813.82/297,201.40
  6. Step 6: Final answer
    x = 146,217.01

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1.5x scale

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.