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Finding the Fourth Proportional to 389,847.09, 538,118.73 and 228,643.32

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Solution

The fourth proportional to 389,847.09, 538,118.73 and 228,643.32 is: 315,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,847.09 : 538,118.73 = 228,643.32 : x
  2. Step 2: Convert to fraction form
    389,847.09/538,118.73 = 228,643.32/x
  3. Step 3: Cross multiply
    389,847.09x = 538,118.73 × 228,643.32
  4. Step 4: Simplify right side
    389,847.09x = 123,037,252,981.38
  5. Step 5: Solve for x
    x = 123,037,252,981.38/389,847.09
  6. Step 6: Final answer
    x = 315,603.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.