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Finding the Fourth Proportional to 475,768.82, 713,682.06 and 191,458.28

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Solution

The fourth proportional to 475,768.82, 713,682.06 and 191,458.28 is: 287,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,768.82 : 713,682.06 = 191,458.28 : x
  2. Step 2: Convert to fraction form
    475,768.82/713,682.06 = 191,458.28/x
  3. Step 3: Cross multiply
    475,768.82x = 713,682.06 × 191,458.28
  4. Step 4: Simplify right side
    475,768.82x = 136,640,339,674.46
  5. Step 5: Solve for x
    x = 136,640,339,674.46/475,768.82
  6. Step 6: Final answer
    x = 287,199.02

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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.