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Finding the Fourth Proportional to 475,106.46, 712,763.37 and 159,555.03

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Solution

The fourth proportional to 475,106.46, 712,763.37 and 159,555.03 is: 239,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,106.46 : 712,763.37 = 159,555.03 : x
  2. Step 2: Convert to fraction form
    475,106.46/712,763.37 = 159,555.03/x
  3. Step 3: Cross multiply
    475,106.46x = 712,763.37 × 159,555.03
  4. Step 4: Simplify right side
    475,106.46x = 113,724,980,883.25
  5. Step 5: Solve for x
    x = 113,724,980,883.25/475,106.46
  6. Step 6: Final answer
    x = 239,367.36

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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.