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Finding the Fourth Proportional to 493,352.11, 739,965.75 and 156,396.01

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Solution

The fourth proportional to 493,352.11, 739,965.75 and 156,396.01 is: 234,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,352.11 : 739,965.75 = 156,396.01 : x
  2. Step 2: Convert to fraction form
    493,352.11/739,965.75 = 156,396.01/x
  3. Step 3: Cross multiply
    493,352.11x = 739,965.75 × 156,396.01
  4. Step 4: Simplify right side
    493,352.11x = 115,727,690,054.68
  5. Step 5: Solve for x
    x = 115,727,690,054.68/493,352.11
  6. Step 6: Final answer
    x = 234,574.23

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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.