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Finding the Fourth Proportional to 475,344.74, 713,107.02 and 191,057.42

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Solution

The fourth proportional to 475,344.74, 713,107.02 and 191,057.42 is: 286,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,344.74 : 713,107.02 = 191,057.42 : x
  2. Step 2: Convert to fraction form
    475,344.74/713,107.02 = 191,057.42/x
  3. Step 3: Cross multiply
    475,344.74x = 713,107.02 × 191,057.42
  4. Step 4: Simplify right side
    475,344.74x = 136,244,387,425.09
  5. Step 5: Solve for x
    x = 136,244,387,425.09/475,344.74
  6. Step 6: Final answer
    x = 286,622.27

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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.