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Finding the Fourth Proportional to 493,647.80, 739,973.14 and 194,338.42

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Solution

The fourth proportional to 493,647.80, 739,973.14 and 194,338.42 is: 291,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,647.80 : 739,973.14 = 194,338.42 : x
  2. Step 2: Convert to fraction form
    493,647.80/739,973.14 = 194,338.42/x
  3. Step 3: Cross multiply
    493,647.80x = 739,973.14 × 194,338.42
  4. Step 4: Simplify right side
    493,647.80x = 143,805,208,534.26
  5. Step 5: Solve for x
    x = 143,805,208,534.26/493,647.80
  6. Step 6: Final answer
    x = 291,311.36

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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.