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Finding the Fourth Proportional to 475,738.47, 713,610.09 and 120,752.60

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Solution

The fourth proportional to 475,738.47, 713,610.09 and 120,752.60 is: 181,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,738.47 : 713,610.09 = 120,752.60 : x
  2. Step 2: Convert to fraction form
    475,738.47/713,610.09 = 120,752.60/x
  3. Step 3: Cross multiply
    475,738.47x = 713,610.09 × 120,752.60
  4. Step 4: Simplify right side
    475,738.47x = 86,170,270,185.68
  5. Step 5: Solve for x
    x = 86,170,270,185.68/475,738.47
  6. Step 6: Final answer
    x = 181,129.50

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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.