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Finding the Fourth Proportional to 297,288.23, 445,765.17 and 97,591.87

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Solution

The fourth proportional to 297,288.23, 445,765.17 and 97,591.87 is: 146,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,288.23 : 445,765.17 = 97,591.87 : x
  2. Step 2: Convert to fraction form
    297,288.23/445,765.17 = 97,591.87/x
  3. Step 3: Cross multiply
    297,288.23x = 445,765.17 × 97,591.87
  4. Step 4: Simplify right side
    297,288.23x = 43,503,057,444.34
  5. Step 5: Solve for x
    x = 43,503,057,444.34/297,288.23
  6. Step 6: Final answer
    x = 146,332.93

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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.