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Finding the Fourth Proportional to 297,476.12, 446,269.53 and 97,804.38

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Solution

The fourth proportional to 297,476.12, 446,269.53 and 97,804.38 is: 146,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,476.12 : 446,269.53 = 97,804.38 : x
  2. Step 2: Convert to fraction form
    297,476.12/446,269.53 = 97,804.38/x
  3. Step 3: Cross multiply
    297,476.12x = 446,269.53 × 97,804.38
  4. Step 4: Simplify right side
    297,476.12x = 43,647,116,368.05
  5. Step 5: Solve for x
    x = 43,647,116,368.05/297,476.12
  6. Step 6: Final answer
    x = 146,724.78

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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.