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Finding the Fourth Proportional to 297,585.67, 446,409.26 and 97,905.78

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Solution

The fourth proportional to 297,585.67, 446,409.26 and 97,905.78 is: 146,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,585.67 : 446,409.26 = 97,905.78 : x
  2. Step 2: Convert to fraction form
    297,585.67/446,409.26 = 97,905.78/x
  3. Step 3: Cross multiply
    297,585.67x = 446,409.26 × 97,905.78
  4. Step 4: Simplify right side
    297,585.67x = 43,706,046,799.52
  5. Step 5: Solve for x
    x = 43,706,046,799.52/297,585.67
  6. Step 6: Final answer
    x = 146,868.79

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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.