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Finding the Fourth Proportional to 471,509.31, 707,264.55 and 116,517.90

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Solution

The fourth proportional to 471,509.31, 707,264.55 and 116,517.90 is: 174,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509.31 : 707,264.55 = 116,517.90 : x
  2. Step 2: Convert to fraction form
    471,509.31/707,264.55 = 116,517.90/x
  3. Step 3: Cross multiply
    471,509.31x = 707,264.55 × 116,517.90
  4. Step 4: Simplify right side
    471,509.31x = 82,408,980,110.45
  5. Step 5: Solve for x
    x = 82,408,980,110.45/471,509.31
  6. Step 6: Final answer
    x = 174,776.99

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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.