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Finding the Fourth Proportional to 297,562.68, 446,409.72 and 97,944.48

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Solution

The fourth proportional to 297,562.68, 446,409.72 and 97,944.48 is: 146,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,562.68 : 446,409.72 = 97,944.48 : x
  2. Step 2: Convert to fraction form
    297,562.68/446,409.72 = 97,944.48/x
  3. Step 3: Cross multiply
    297,562.68x = 446,409.72 × 97,944.48
  4. Step 4: Simplify right side
    297,562.68x = 43,723,367,892.35
  5. Step 5: Solve for x
    x = 43,723,367,892.35/297,562.68
  6. Step 6: Final answer
    x = 146,938.35

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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.