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Finding the Fourth Proportional to 475,686, 713,529 and 120,701.88

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Solution

The fourth proportional to 475,686, 713,529 and 120,701.88 is: 181,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,686 : 713,529 = 120,701.88 : x
  2. Step 2: Convert to fraction form
    475,686/713,529 = 120,701.88/x
  3. Step 3: Cross multiply
    475,686x = 713,529 × 120,701.88
  4. Step 4: Simplify right side
    475,686x = 86,124,291,734.52
  5. Step 5: Solve for x
    x = 86,124,291,734.52/475,686
  6. Step 6: Final answer
    x = 181,052.82

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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.