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Finding the Fourth Proportional to 475,765.82, 713,677.56 and 191,455.27

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Solution

The fourth proportional to 475,765.82, 713,677.56 and 191,455.27 is: 287,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,765.82 : 713,677.56 = 191,455.27 : x
  2. Step 2: Convert to fraction form
    475,765.82/713,677.56 = 191,455.27/x
  3. Step 3: Cross multiply
    475,765.82x = 713,677.56 × 191,455.27
  4. Step 4: Simplify right side
    475,765.82x = 136,637,329,942.74
  5. Step 5: Solve for x
    x = 136,637,329,942.74/475,765.82
  6. Step 6: Final answer
    x = 287,194.51

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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.