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Finding the Fourth Proportional to 376,709.36, 565,001.94 and 123,993.14

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Solution

The fourth proportional to 376,709.36, 565,001.94 and 123,993.14 is: 185,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,709.36 : 565,001.94 = 123,993.14 : x
  2. Step 2: Convert to fraction form
    376,709.36/565,001.94 = 123,993.14/x
  3. Step 3: Cross multiply
    376,709.36x = 565,001.94 × 123,993.14
  4. Step 4: Simplify right side
    376,709.36x = 70,056,364,646.69
  5. Step 5: Solve for x
    x = 70,056,364,646.69/376,709.36
  6. Step 6: Final answer
    x = 185,969.27

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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.