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Finding the Fourth Proportional to 471,507.31, 707,261.55 and 116,515.90

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Solution

The fourth proportional to 471,507.31, 707,261.55 and 116,515.90 is: 174,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,507.31 : 707,261.55 = 116,515.90 : x
  2. Step 2: Convert to fraction form
    471,507.31/707,261.55 = 116,515.90/x
  3. Step 3: Cross multiply
    471,507.31x = 707,261.55 × 116,515.90
  4. Step 4: Simplify right side
    471,507.31x = 82,407,216,033.65
  5. Step 5: Solve for x
    x = 82,407,216,033.65/471,507.31
  6. Step 6: Final answer
    x = 174,773.99

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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.