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Finding the Fourth Proportional to 297,208.65, 445,797.30 and 97,502.76

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Solution

The fourth proportional to 297,208.65, 445,797.30 and 97,502.76 is: 146,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,208.65 : 445,797.30 = 97,502.76 : x
  2. Step 2: Convert to fraction form
    297,208.65/445,797.30 = 97,502.76/x
  3. Step 3: Cross multiply
    297,208.65x = 445,797.30 × 97,502.76
  4. Step 4: Simplify right side
    297,208.65x = 43,466,467,150.55
  5. Step 5: Solve for x
    x = 43,466,467,150.55/297,208.65
  6. Step 6: Final answer
    x = 146,249.00

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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.