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Finding the Fourth Proportional to 322,493.16, 445,005.18 and 186,529.80

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Solution

The fourth proportional to 322,493.16, 445,005.18 and 186,529.80 is: 257,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,493.16 : 445,005.18 = 186,529.80 : x
  2. Step 2: Convert to fraction form
    322,493.16/445,005.18 = 186,529.80/x
  3. Step 3: Cross multiply
    322,493.16x = 445,005.18 × 186,529.80
  4. Step 4: Simplify right side
    322,493.16x = 83,006,727,224.36
  5. Step 5: Solve for x
    x = 83,006,727,224.36/322,493.16
  6. Step 6: Final answer
    x = 257,390.66

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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.