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Finding the Fourth Proportional to 475,900.63, 713,870.38 and 120,923.80

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Solution

The fourth proportional to 475,900.63, 713,870.38 and 120,923.80 is: 181,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,900.63 : 713,870.38 = 120,923.80 : x
  2. Step 2: Convert to fraction form
    475,900.63/713,870.38 = 120,923.80/x
  3. Step 3: Cross multiply
    475,900.63x = 713,870.38 × 120,923.80
  4. Step 4: Simplify right side
    475,900.63x = 86,323,919,057.04
  5. Step 5: Solve for x
    x = 86,323,919,057.04/475,900.63
  6. Step 6: Final answer
    x = 181,390.64

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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.