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Finding the Fourth Proportional to 341,402.79, 471,065.51 and 196,180.51

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Solution

The fourth proportional to 341,402.79, 471,065.51 and 196,180.51 is: 270,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,402.79 : 471,065.51 = 196,180.51 : x
  2. Step 2: Convert to fraction form
    341,402.79/471,065.51 = 196,180.51/x
  3. Step 3: Cross multiply
    341,402.79x = 471,065.51 × 196,180.51
  4. Step 4: Simplify right side
    341,402.79x = 92,413,871,995.21
  5. Step 5: Solve for x
    x = 92,413,871,995.21/341,402.79
  6. Step 6: Final answer
    x = 270,688.68

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Why These Related Problems?

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