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Finding the Fourth Proportional to 302,593.32, 417,438.51 and 195,197.96

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Solution

The fourth proportional to 302,593.32, 417,438.51 and 195,197.96 is: 269,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,593.32 : 417,438.51 = 195,197.96 : x
  2. Step 2: Convert to fraction form
    302,593.32/417,438.51 = 195,197.96/x
  3. Step 3: Cross multiply
    302,593.32x = 417,438.51 × 195,197.96
  4. Step 4: Simplify right side
    302,593.32x = 81,483,143,490.25
  5. Step 5: Solve for x
    x = 81,483,143,490.25/302,593.32
  6. Step 6: Final answer
    x = 269,282.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.