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Finding the Fourth Proportional to 463,362.58, 695,101.11 and 163,781.38

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Solution

The fourth proportional to 463,362.58, 695,101.11 and 163,781.38 is: 245,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,362.58 : 695,101.11 = 163,781.38 : x
  2. Step 2: Convert to fraction form
    463,362.58/695,101.11 = 163,781.38/x
  3. Step 3: Cross multiply
    463,362.58x = 695,101.11 × 163,781.38
  4. Step 4: Simplify right side
    463,362.58x = 113,844,619,035.33
  5. Step 5: Solve for x
    x = 113,844,619,035.33/463,362.58
  6. Step 6: Final answer
    x = 245,692.30

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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.