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Finding the Fourth Proportional to 643,443.32, 965,172.41 and 194,168.08

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Solution

The fourth proportional to 643,443.32, 965,172.41 and 194,168.08 is: 291,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,443.32 : 965,172.41 = 194,168.08 : x
  2. Step 2: Convert to fraction form
    643,443.32/965,172.41 = 194,168.08/x
  3. Step 3: Cross multiply
    643,443.32x = 965,172.41 × 194,168.08
  4. Step 4: Simplify right side
    643,443.32x = 187,405,670,820.32
  5. Step 5: Solve for x
    x = 187,405,670,820.32/643,443.32
  6. Step 6: Final answer
    x = 291,254.36

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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.