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Finding the Fourth Proportional to 311,396.01, 429,758.29 and 190,617.11

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Solution

The fourth proportional to 311,396.01, 429,758.29 and 190,617.11 is: 263,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,396.01 : 429,758.29 = 190,617.11 : x
  2. Step 2: Convert to fraction form
    311,396.01/429,758.29 = 190,617.11/x
  3. Step 3: Cross multiply
    311,396.01x = 429,758.29 × 190,617.11
  4. Step 4: Simplify right side
    311,396.01x = 81,919,282,939.42
  5. Step 5: Solve for x
    x = 81,919,282,939.42/311,396.01
  6. Step 6: Final answer
    x = 263,071.08

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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.