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Finding the Fourth Proportional to 475,896.63, 713,864.38 and 120,919.80

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Solution

The fourth proportional to 475,896.63, 713,864.38 and 120,919.80 is: 181,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,896.63 : 713,864.38 = 120,919.80 : x
  2. Step 2: Convert to fraction form
    475,896.63/713,864.38 = 120,919.80/x
  3. Step 3: Cross multiply
    475,896.63x = 713,864.38 × 120,919.80
  4. Step 4: Simplify right side
    475,896.63x = 86,320,338,056.72
  5. Step 5: Solve for x
    x = 86,320,338,056.72/475,896.63
  6. Step 6: Final answer
    x = 181,384.64

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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.