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Finding the Fourth Proportional to 469,782.13, 704,584.62 and 132,820.12

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Solution

The fourth proportional to 469,782.13, 704,584.62 and 132,820.12 is: 199,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,782.13 : 704,584.62 = 132,820.12 : x
  2. Step 2: Convert to fraction form
    469,782.13/704,584.62 = 132,820.12/x
  3. Step 3: Cross multiply
    469,782.13x = 704,584.62 × 132,820.12
  4. Step 4: Simplify right side
    469,782.13x = 93,583,013,778.55
  5. Step 5: Solve for x
    x = 93,583,013,778.55/469,782.13
  6. Step 6: Final answer
    x = 199,205.14

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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.