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Finding the Fourth Proportional to 475,184.75, 712,883.51 and 159,633.05

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Solution

The fourth proportional to 475,184.75, 712,883.51 and 159,633.05 is: 239,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,184.75 : 712,883.51 = 159,633.05 : x
  2. Step 2: Convert to fraction form
    475,184.75/712,883.51 = 159,633.05/x
  3. Step 3: Cross multiply
    475,184.75x = 712,883.51 × 159,633.05
  4. Step 4: Simplify right side
    475,184.75x = 113,799,768,996.01
  5. Step 5: Solve for x
    x = 113,799,768,996.01/475,184.75
  6. Step 6: Final answer
    x = 239,485.31

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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.