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Finding the Fourth Proportional to 469,520.16, 704,287.62 and 114,540.90

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Solution

The fourth proportional to 469,520.16, 704,287.62 and 114,540.90 is: 171,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,520.16 : 704,287.62 = 114,540.90 : x
  2. Step 2: Convert to fraction form
    469,520.16/704,287.62 = 114,540.90/x
  3. Step 3: Cross multiply
    469,520.16x = 704,287.62 × 114,540.90
  4. Step 4: Simplify right side
    469,520.16x = 80,669,737,853.66
  5. Step 5: Solve for x
    x = 80,669,737,853.66/469,520.16
  6. Step 6: Final answer
    x = 171,813.15

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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.