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Finding the Fourth Proportional to 669,073, 1,003,412.67 and 195,645.82

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Solution

The fourth proportional to 669,073, 1,003,412.67 and 195,645.82 is: 293,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,073 : 1,003,412.67 = 195,645.82 : x
  2. Step 2: Convert to fraction form
    669,073/1,003,412.67 = 195,645.82/x
  3. Step 3: Cross multiply
    669,073x = 1,003,412.67 × 195,645.82
  4. Step 4: Simplify right side
    669,073x = 196,313,494,620.54
  5. Step 5: Solve for x
    x = 196,313,494,620.54/669,073
  6. Step 6: Final answer
    x = 293,411.17

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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.