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Finding the Fourth Proportional to 475,114.46, 712,775.46 and 159,563.12

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Solution

The fourth proportional to 475,114.46, 712,775.46 and 159,563.12 is: 239,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,114.46 : 712,775.46 = 159,563.12 : x
  2. Step 2: Convert to fraction form
    475,114.46/712,775.46 = 159,563.12/x
  3. Step 3: Cross multiply
    475,114.46x = 712,775.46 × 159,563.12
  4. Step 4: Simplify right side
    475,114.46x = 113,732,676,257.04
  5. Step 5: Solve for x
    x = 113,732,676,257.04/475,114.46
  6. Step 6: Final answer
    x = 239,379.53

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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.