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Finding the Fourth Proportional to 471,050.85, 706,576.61 and 116,064.87

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Solution

The fourth proportional to 471,050.85, 706,576.61 and 116,064.87 is: 174,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,050.85 : 706,576.61 = 116,064.87 : x
  2. Step 2: Convert to fraction form
    471,050.85/706,576.61 = 116,064.87/x
  3. Step 3: Cross multiply
    471,050.85x = 706,576.61 × 116,064.87
  4. Step 4: Simplify right side
    471,050.85x = 82,008,722,674.85
  5. Step 5: Solve for x
    x = 82,008,722,674.85/471,050.85
  6. Step 6: Final answer
    x = 174,097.39

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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.