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Finding the Fourth Proportional to 393,953.51, 591,114.78 and 194,164.98

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Solution

The fourth proportional to 393,953.51, 591,114.78 and 194,164.98 is: 291,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,953.51 : 591,114.78 = 194,164.98 : x
  2. Step 2: Convert to fraction form
    393,953.51/591,114.78 = 194,164.98/x
  3. Step 3: Cross multiply
    393,953.51x = 591,114.78 × 194,164.98
  4. Step 4: Simplify right side
    393,953.51x = 114,773,789,436.40
  5. Step 5: Solve for x
    x = 114,773,789,436.40/393,953.51
  6. Step 6: Final answer
    x = 291,338.41

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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.