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Finding the Fourth Proportional to 643,608.64, 965,568.96 and 194,302.66

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Solution

The fourth proportional to 643,608.64, 965,568.96 and 194,302.66 is: 291,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,608.64 : 965,568.96 = 194,302.66 : x
  2. Step 2: Convert to fraction form
    643,608.64/965,568.96 = 194,302.66/x
  3. Step 3: Cross multiply
    643,608.64x = 965,568.96 × 194,302.66
  4. Step 4: Simplify right side
    643,608.64x = 187,612,617,341.43
  5. Step 5: Solve for x
    x = 187,612,617,341.43/643,608.64
  6. Step 6: Final answer
    x = 291,501.09

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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.