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Finding the Fourth Proportional to 389,864.32, 538,014.38 and 211,016.32

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Solution

The fourth proportional to 389,864.32, 538,014.38 and 211,016.32 is: 291,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,864.32 : 538,014.38 = 211,016.32 : x
  2. Step 2: Convert to fraction form
    389,864.32/538,014.38 = 211,016.32/x
  3. Step 3: Cross multiply
    389,864.32x = 538,014.38 × 211,016.32
  4. Step 4: Simplify right side
    389,864.32x = 113,529,814,574.68
  5. Step 5: Solve for x
    x = 113,529,814,574.68/389,864.32
  6. Step 6: Final answer
    x = 291,203.40

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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.