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Finding the Fourth Proportional to 253,656.90, 380,669.87 and 204,332.51

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Solution

The fourth proportional to 253,656.90, 380,669.87 and 204,332.51 is: 306,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,656.90 : 380,669.87 = 204,332.51 : x
  2. Step 2: Convert to fraction form
    253,656.90/380,669.87 = 204,332.51/x
  3. Step 3: Cross multiply
    253,656.90x = 380,669.87 × 204,332.51
  4. Step 4: Simplify right side
    253,656.90x = 77,783,231,480.98
  5. Step 5: Solve for x
    x = 77,783,231,480.98/253,656.90
  6. Step 6: Final answer
    x = 306,647.41

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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.