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Finding the Fourth Proportional to 360,278.28, 497,185.98 and 196,935.01

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Solution

The fourth proportional to 360,278.28, 497,185.98 and 196,935.01 is: 271,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,278.28 : 497,185.98 = 196,935.01 : x
  2. Step 2: Convert to fraction form
    360,278.28/497,185.98 = 196,935.01/x
  3. Step 3: Cross multiply
    360,278.28x = 497,185.98 × 196,935.01
  4. Step 4: Simplify right side
    360,278.28x = 97,913,324,700.19
  5. Step 5: Solve for x
    x = 97,913,324,700.19/360,278.28
  6. Step 6: Final answer
    x = 271,771.38

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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.