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Finding the Fourth Proportional to 297,284.81, 445,760.01 and 97,588.46

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Solution

The fourth proportional to 297,284.81, 445,760.01 and 97,588.46 is: 146,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.81 : 445,760.01 = 97,588.46 : x
  2. Step 2: Convert to fraction form
    297,284.81/445,760.01 = 97,588.46/x
  3. Step 3: Cross multiply
    297,284.81x = 445,760.01 × 97,588.46
  4. Step 4: Simplify right side
    297,284.81x = 43,501,030,676.68
  5. Step 5: Solve for x
    x = 43,501,030,676.68/297,284.81
  6. Step 6: Final answer
    x = 146,327.80

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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.