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Finding the Fourth Proportional to 297,134.28, 445,657.62 and 97,475.76

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Solution

The fourth proportional to 297,134.28, 445,657.62 and 97,475.76 is: 146,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,134.28 : 445,657.62 = 97,475.76 : x
  2. Step 2: Convert to fraction form
    297,134.28/445,657.62 = 97,475.76/x
  3. Step 3: Cross multiply
    297,134.28x = 445,657.62 × 97,475.76
  4. Step 4: Simplify right side
    297,134.28x = 43,440,815,209.29
  5. Step 5: Solve for x
    x = 43,440,815,209.29/297,134.28
  6. Step 6: Final answer
    x = 146,199.27

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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.